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Finding the Fourth Proportional to 9,384.47, 14,080.79 and 5,882.51

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Solution

The fourth proportional to 9,384.47, 14,080.79 and 5,882.51 is: 8,826.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,384.47 : 14,080.79 = 5,882.51 : x
  2. Step 2: Convert to fraction form
    9,384.47/14,080.79 = 5,882.51/x
  3. Step 3: Cross multiply
    9,384.47x = 14,080.79 × 5,882.51
  4. Step 4: Simplify right side
    9,384.47x = 82,830,332.29
  5. Step 5: Solve for x
    x = 82,830,332.29/9,384.47
  6. Step 6: Final answer
    x = 8,826.32

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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.