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Finding the Fourth Proportional to 9,029.67, 12,462.42 and 5,051.76

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Solution

The fourth proportional to 9,029.67, 12,462.42 and 5,051.76 is: 6,972.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,029.67 : 12,462.42 = 5,051.76 : x
  2. Step 2: Convert to fraction form
    9,029.67/12,462.42 = 5,051.76/x
  3. Step 3: Cross multiply
    9,029.67x = 12,462.42 × 5,051.76
  4. Step 4: Simplify right side
    9,029.67x = 62,957,154.86
  5. Step 5: Solve for x
    x = 62,957,154.86/9,029.67
  6. Step 6: Final answer
    x = 6,972.25

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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.