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Finding the Fourth Proportional to 6,686.48, 9,228.86 and 4,168.10

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Solution

The fourth proportional to 6,686.48, 9,228.86 and 4,168.10 is: 5,752.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,686.48 : 9,228.86 = 4,168.10 : x
  2. Step 2: Convert to fraction form
    6,686.48/9,228.86 = 4,168.10/x
  3. Step 3: Cross multiply
    6,686.48x = 9,228.86 × 4,168.10
  4. Step 4: Simplify right side
    6,686.48x = 38,466,809.12
  5. Step 5: Solve for x
    x = 38,466,809.12/6,686.48
  6. Step 6: Final answer
    x = 5,752.93

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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.