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Finding the Fourth Proportional to 9,139.60, 13,713.30 and 4,463.74

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Solution

The fourth proportional to 9,139.60, 13,713.30 and 4,463.74 is: 6,697.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,139.60 : 13,713.30 = 4,463.74 : x
  2. Step 2: Convert to fraction form
    9,139.60/13,713.30 = 4,463.74/x
  3. Step 3: Cross multiply
    9,139.60x = 13,713.30 × 4,463.74
  4. Step 4: Simplify right side
    9,139.60x = 61,212,605.74
  5. Step 5: Solve for x
    x = 61,212,605.74/9,139.60
  6. Step 6: Final answer
    x = 6,697.51

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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.