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Finding the Fourth Proportional to 9,384.65, 14,080.90 and 4,116.95

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Solution

The fourth proportional to 9,384.65, 14,080.90 and 4,116.95 is: 6,177.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,384.65 : 14,080.90 = 4,116.95 : x
  2. Step 2: Convert to fraction form
    9,384.65/14,080.90 = 4,116.95/x
  3. Step 3: Cross multiply
    9,384.65x = 14,080.90 × 4,116.95
  4. Step 4: Simplify right side
    9,384.65x = 57,970,280.56
  5. Step 5: Solve for x
    x = 57,970,280.56/9,384.65
  6. Step 6: Final answer
    x = 6,177.14

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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.