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Finding the Fourth Proportional to 6,076.55, 9,099 and 5,707.14

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Solution

The fourth proportional to 6,076.55, 9,099 and 5,707.14 is: 8,545.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,076.55 : 9,099 = 5,707.14 : x
  2. Step 2: Convert to fraction form
    6,076.55/9,099 = 5,707.14/x
  3. Step 3: Cross multiply
    6,076.55x = 9,099 × 5,707.14
  4. Step 4: Simplify right side
    6,076.55x = 51,929,266.86
  5. Step 5: Solve for x
    x = 51,929,266.86/6,076.55
  6. Step 6: Final answer
    x = 8,545.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.