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Finding the Fourth Proportional to 9,154.11, 12,635.76 and 6,509.19

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Solution

The fourth proportional to 9,154.11, 12,635.76 and 6,509.19 is: 8,984.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,154.11 : 12,635.76 = 6,509.19 : x
  2. Step 2: Convert to fraction form
    9,154.11/12,635.76 = 6,509.19/x
  3. Step 3: Cross multiply
    9,154.11x = 12,635.76 × 6,509.19
  4. Step 4: Simplify right side
    9,154.11x = 82,248,562.63
  5. Step 5: Solve for x
    x = 82,248,562.63/9,154.11
  6. Step 6: Final answer
    x = 8,984.88

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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.