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Finding the Fourth Proportional to 9,702.28, 13,389.15 and 5,510.53

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Solution

The fourth proportional to 9,702.28, 13,389.15 and 5,510.53 is: 7,604.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,702.28 : 13,389.15 = 5,510.53 : x
  2. Step 2: Convert to fraction form
    9,702.28/13,389.15 = 5,510.53/x
  3. Step 3: Cross multiply
    9,702.28x = 13,389.15 × 5,510.53
  4. Step 4: Simplify right side
    9,702.28x = 73,781,319.15
  5. Step 5: Solve for x
    x = 73,781,319.15/9,702.28
  6. Step 6: Final answer
    x = 7,604.53

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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.