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Finding the Fourth Proportional to 6,061.96, 9,076.48 and 5,314.72

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Solution

The fourth proportional to 6,061.96, 9,076.48 and 5,314.72 is: 7,957.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,061.96 : 9,076.48 = 5,314.72 : x
  2. Step 2: Convert to fraction form
    6,061.96/9,076.48 = 5,314.72/x
  3. Step 3: Cross multiply
    6,061.96x = 9,076.48 × 5,314.72
  4. Step 4: Simplify right side
    6,061.96x = 48,238,949.79
  5. Step 5: Solve for x
    x = 48,238,949.79/6,061.96
  6. Step 6: Final answer
    x = 7,957.65

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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.