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Finding the Fourth Proportional to 9,472.34, 13,083.42 and 6,498.02

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Solution

The fourth proportional to 9,472.34, 13,083.42 and 6,498.02 is: 8,975.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,472.34 : 13,083.42 = 6,498.02 : x
  2. Step 2: Convert to fraction form
    9,472.34/13,083.42 = 6,498.02/x
  3. Step 3: Cross multiply
    9,472.34x = 13,083.42 × 6,498.02
  4. Step 4: Simplify right side
    9,472.34x = 85,016,381.90
  5. Step 5: Solve for x
    x = 85,016,381.90/9,472.34
  6. Step 6: Final answer
    x = 8,975.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.