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Finding the Fourth Proportional to 9,315.60, 12,847.32 and 7,304.64

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Solution

The fourth proportional to 9,315.60, 12,847.32 and 7,304.64 is: 10,073.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,315.60 : 12,847.32 = 7,304.64 : x
  2. Step 2: Convert to fraction form
    9,315.60/12,847.32 = 7,304.64/x
  3. Step 3: Cross multiply
    9,315.60x = 12,847.32 × 7,304.64
  4. Step 4: Simplify right side
    9,315.60x = 93,845,047.56
  5. Step 5: Solve for x
    x = 93,845,047.56/9,315.60
  6. Step 6: Final answer
    x = 10,073.97

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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.