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Finding the Fourth Proportional to 9,124.10, 12,595.50 and 5,346.74

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Solution

The fourth proportional to 9,124.10, 12,595.50 and 5,346.74 is: 7,380.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,124.10 : 12,595.50 = 5,346.74 : x
  2. Step 2: Convert to fraction form
    9,124.10/12,595.50 = 5,346.74/x
  3. Step 3: Cross multiply
    9,124.10x = 12,595.50 × 5,346.74
  4. Step 4: Simplify right side
    9,124.10x = 67,344,895.16
  5. Step 5: Solve for x
    x = 67,344,895.16/9,124.10
  6. Step 6: Final answer
    x = 7,380.99

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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.