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Finding the Fourth Proportional to 9,928.76, 13,702.02 and 5,737.02

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Solution

The fourth proportional to 9,928.76, 13,702.02 and 5,737.02 is: 7,917.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,928.76 : 13,702.02 = 5,737.02 : x
  2. Step 2: Convert to fraction form
    9,928.76/13,702.02 = 5,737.02/x
  3. Step 3: Cross multiply
    9,928.76x = 13,702.02 × 5,737.02
  4. Step 4: Simplify right side
    9,928.76x = 78,608,762.78
  5. Step 5: Solve for x
    x = 78,608,762.78/9,928.76
  6. Step 6: Final answer
    x = 7,917.28

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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.