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Finding the Fourth Proportional to 9,702.96, 14,570.64 and 7,247.04

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Solution

The fourth proportional to 9,702.96, 14,570.64 and 7,247.04 is: 10,882.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,702.96 : 14,570.64 = 7,247.04 : x
  2. Step 2: Convert to fraction form
    9,702.96/14,570.64 = 7,247.04/x
  3. Step 3: Cross multiply
    9,702.96x = 14,570.64 × 7,247.04
  4. Step 4: Simplify right side
    9,702.96x = 105,594,010.91
  5. Step 5: Solve for x
    x = 105,594,010.91/9,702.96
  6. Step 6: Final answer
    x = 10,882.66

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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.