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Finding the Fourth Proportional to 9,605.71, 14,412.80 and 4,062.88

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Solution

The fourth proportional to 9,605.71, 14,412.80 and 4,062.88 is: 6,096.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,605.71 : 14,412.80 = 4,062.88 : x
  2. Step 2: Convert to fraction form
    9,605.71/14,412.80 = 4,062.88/x
  3. Step 3: Cross multiply
    9,605.71x = 14,412.80 × 4,062.88
  4. Step 4: Simplify right side
    9,605.71x = 58,557,384.49
  5. Step 5: Solve for x
    x = 58,557,384.49/9,605.71
  6. Step 6: Final answer
    x = 6,096.10

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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.