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Finding the Fourth Proportional to 6,102.04, 9,153.05 and 5,277.86

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Solution

The fourth proportional to 6,102.04, 9,153.05 and 5,277.86 is: 7,916.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,102.04 : 9,153.05 = 5,277.86 : x
  2. Step 2: Convert to fraction form
    6,102.04/9,153.05 = 5,277.86/x
  3. Step 3: Cross multiply
    6,102.04x = 9,153.05 × 5,277.86
  4. Step 4: Simplify right side
    6,102.04x = 48,308,516.47
  5. Step 5: Solve for x
    x = 48,308,516.47/6,102.04
  6. Step 6: Final answer
    x = 7,916.78

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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.