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Finding the Fourth Proportional to 9,117.87, 13,702.45 and 5,420.76

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Solution

The fourth proportional to 9,117.87, 13,702.45 and 5,420.76 is: 8,146.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,117.87 : 13,702.45 = 5,420.76 : x
  2. Step 2: Convert to fraction form
    9,117.87/13,702.45 = 5,420.76/x
  3. Step 3: Cross multiply
    9,117.87x = 13,702.45 × 5,420.76
  4. Step 4: Simplify right side
    9,117.87x = 74,277,692.86
  5. Step 5: Solve for x
    x = 74,277,692.86/9,117.87
  6. Step 6: Final answer
    x = 8,146.39

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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.