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Finding the Fourth Proportional to 9,798.30, 14,691.06 and 3,557.13

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Solution

The fourth proportional to 9,798.30, 14,691.06 and 3,557.13 is: 5,333.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,798.30 : 14,691.06 = 3,557.13 : x
  2. Step 2: Convert to fraction form
    9,798.30/14,691.06 = 3,557.13/x
  3. Step 3: Cross multiply
    9,798.30x = 14,691.06 × 3,557.13
  4. Step 4: Simplify right side
    9,798.30x = 52,258,010.26
  5. Step 5: Solve for x
    x = 52,258,010.26/9,798.30
  6. Step 6: Final answer
    x = 5,333.38

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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.