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Finding the Fourth Proportional to 9,148.11, 13,720.95 and 2,574.86

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Solution

The fourth proportional to 9,148.11, 13,720.95 and 2,574.86 is: 3,861.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,148.11 : 13,720.95 = 2,574.86 : x
  2. Step 2: Convert to fraction form
    9,148.11/13,720.95 = 2,574.86/x
  3. Step 3: Cross multiply
    9,148.11x = 13,720.95 × 2,574.86
  4. Step 4: Simplify right side
    9,148.11x = 35,329,508.17
  5. Step 5: Solve for x
    x = 35,329,508.17/9,148.11
  6. Step 6: Final answer
    x = 3,861.95

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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.