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Finding the Fourth Proportional to 6,464,383.20, 9,696,574.80 and 3,771,748.80

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Solution

The fourth proportional to 6,464,383.20, 9,696,574.80 and 3,771,748.80 is: 5,657,623.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,464,383.20 : 9,696,574.80 = 3,771,748.80 : x
  2. Step 2: Convert to fraction form
    6,464,383.20/9,696,574.80 = 3,771,748.80/x
  3. Step 3: Cross multiply
    6,464,383.20x = 9,696,574.80 × 3,771,748.80
  4. Step 4: Simplify right side
    6,464,383.20x = 36,573,044,366,010.24
  5. Step 5: Solve for x
    x = 36,573,044,366,010.24/6,464,383.20
  6. Step 6: Final answer
    x = 5,657,623.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.