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Finding the Fourth Proportional to 9,384.61, 14,079.72 and 5,434.95

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Solution

The fourth proportional to 9,384.61, 14,079.72 and 5,434.95 is: 8,154.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,384.61 : 14,079.72 = 5,434.95 : x
  2. Step 2: Convert to fraction form
    9,384.61/14,079.72 = 5,434.95/x
  3. Step 3: Cross multiply
    9,384.61x = 14,079.72 × 5,434.95
  4. Step 4: Simplify right side
    9,384.61x = 76,522,568.20
  5. Step 5: Solve for x
    x = 76,522,568.20/9,384.61
  6. Step 6: Final answer
    x = 8,154.05

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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.