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Finding the Fourth Proportional to 9,602.16, 14,391 and 4,331.52

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Solution

The fourth proportional to 9,602.16, 14,391 and 4,331.52 is: 6,491.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,602.16 : 14,391 = 4,331.52 : x
  2. Step 2: Convert to fraction form
    9,602.16/14,391 = 4,331.52/x
  3. Step 3: Cross multiply
    9,602.16x = 14,391 × 4,331.52
  4. Step 4: Simplify right side
    9,602.16x = 62,334,904.32
  5. Step 5: Solve for x
    x = 62,334,904.32/9,602.16
  6. Step 6: Final answer
    x = 6,491.76

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