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Finding the Fourth Proportional to 9,182.16, 13,772.76 and 5,384.91

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Solution

The fourth proportional to 9,182.16, 13,772.76 and 5,384.91 is: 8,077.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,182.16 : 13,772.76 = 5,384.91 : x
  2. Step 2: Convert to fraction form
    9,182.16/13,772.76 = 5,384.91/x
  3. Step 3: Cross multiply
    9,182.16x = 13,772.76 × 5,384.91
  4. Step 4: Simplify right side
    9,182.16x = 74,165,073.05
  5. Step 5: Solve for x
    x = 74,165,073.05/9,182.16
  6. Step 6: Final answer
    x = 8,077.08

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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.