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Finding the Fourth Proportional to 6,151.88, 9,228.14 and 1,534.92

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Solution

The fourth proportional to 6,151.88, 9,228.14 and 1,534.92 is: 2,302.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,151.88 : 9,228.14 = 1,534.92 : x
  2. Step 2: Convert to fraction form
    6,151.88/9,228.14 = 1,534.92/x
  3. Step 3: Cross multiply
    6,151.88x = 9,228.14 × 1,534.92
  4. Step 4: Simplify right side
    6,151.88x = 14,164,456.65
  5. Step 5: Solve for x
    x = 14,164,456.65/6,151.88
  6. Step 6: Final answer
    x = 2,302.46

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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.