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Finding the Fourth Proportional to 9,374.26, 12,934.34 and 5,598.65

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Solution

The fourth proportional to 9,374.26, 12,934.34 and 5,598.65 is: 7,724.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,374.26 : 12,934.34 = 5,598.65 : x
  2. Step 2: Convert to fraction form
    9,374.26/12,934.34 = 5,598.65/x
  3. Step 3: Cross multiply
    9,374.26x = 12,934.34 × 5,598.65
  4. Step 4: Simplify right side
    9,374.26x = 72,414,842.64
  5. Step 5: Solve for x
    x = 72,414,842.64/9,374.26
  6. Step 6: Final answer
    x = 7,724.86

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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.