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Finding the Fourth Proportional to 9,281.68, 12,798.89 and 5,924.63

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Solution

The fourth proportional to 9,281.68, 12,798.89 and 5,924.63 is: 8,169.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,281.68 : 12,798.89 = 5,924.63 : x
  2. Step 2: Convert to fraction form
    9,281.68/12,798.89 = 5,924.63/x
  3. Step 3: Cross multiply
    9,281.68x = 12,798.89 × 5,924.63
  4. Step 4: Simplify right side
    9,281.68x = 75,828,687.66
  5. Step 5: Solve for x
    x = 75,828,687.66/9,281.68
  6. Step 6: Final answer
    x = 8,169.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.