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Finding the Fourth Proportional to 9,569.52, 14,355.36 and 4,374

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Solution

The fourth proportional to 9,569.52, 14,355.36 and 4,374 is: 6,561.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,569.52 : 14,355.36 = 4,374 : x
  2. Step 2: Convert to fraction form
    9,569.52/14,355.36 = 4,374/x
  3. Step 3: Cross multiply
    9,569.52x = 14,355.36 × 4,374
  4. Step 4: Simplify right side
    9,569.52x = 62,790,344.64
  5. Step 5: Solve for x
    x = 62,790,344.64/9,569.52
  6. Step 6: Final answer
    x = 6,561.49

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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.