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Finding the Fourth Proportional to 9,048.35, 13,557.52 and 6,402.74

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Solution

The fourth proportional to 9,048.35, 13,557.52 and 6,402.74 is: 9,593.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,048.35 : 13,557.52 = 6,402.74 : x
  2. Step 2: Convert to fraction form
    9,048.35/13,557.52 = 6,402.74/x
  3. Step 3: Cross multiply
    9,048.35x = 13,557.52 × 6,402.74
  4. Step 4: Simplify right side
    9,048.35x = 86,805,320.15
  5. Step 5: Solve for x
    x = 86,805,320.15/9,048.35
  6. Step 6: Final answer
    x = 9,593.49

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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.