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Finding the Fourth Proportional to 9,151.67, 13,702.80 and 4,759.90

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Solution

The fourth proportional to 9,151.67, 13,702.80 and 4,759.90 is: 7,127.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,151.67 : 13,702.80 = 4,759.90 : x
  2. Step 2: Convert to fraction form
    9,151.67/13,702.80 = 4,759.90/x
  3. Step 3: Cross multiply
    9,151.67x = 13,702.80 × 4,759.90
  4. Step 4: Simplify right side
    9,151.67x = 65,223,957.72
  5. Step 5: Solve for x
    x = 65,223,957.72/9,151.67
  6. Step 6: Final answer
    x = 7,127.00

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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.