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Finding the Fourth Proportional to 9,574.47, 14,350.77 and 5,195.61

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Solution

The fourth proportional to 9,574.47, 14,350.77 and 5,195.61 is: 7,787.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,574.47 : 14,350.77 = 5,195.61 : x
  2. Step 2: Convert to fraction form
    9,574.47/14,350.77 = 5,195.61/x
  3. Step 3: Cross multiply
    9,574.47x = 14,350.77 × 5,195.61
  4. Step 4: Simplify right side
    9,574.47x = 74,561,004.12
  5. Step 5: Solve for x
    x = 74,561,004.12/9,574.47
  6. Step 6: Final answer
    x = 7,787.48

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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.