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Finding the Fourth Proportional to 9,925.90, 13,697.28 and 5,949.22

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Solution

The fourth proportional to 9,925.90, 13,697.28 and 5,949.22 is: 8,209.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,925.90 : 13,697.28 = 5,949.22 : x
  2. Step 2: Convert to fraction form
    9,925.90/13,697.28 = 5,949.22/x
  3. Step 3: Cross multiply
    9,925.90x = 13,697.28 × 5,949.22
  4. Step 4: Simplify right side
    9,925.90x = 81,488,132.12
  5. Step 5: Solve for x
    x = 81,488,132.12/9,925.90
  6. Step 6: Final answer
    x = 8,209.65

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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.