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Finding the Fourth Proportional to 9,032.41, 12,464.76 and 5,053.78

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Solution

The fourth proportional to 9,032.41, 12,464.76 and 5,053.78 is: 6,974.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,032.41 : 12,464.76 = 5,053.78 : x
  2. Step 2: Convert to fraction form
    9,032.41/12,464.76 = 5,053.78/x
  3. Step 3: Cross multiply
    9,032.41x = 12,464.76 × 5,053.78
  4. Step 4: Simplify right side
    9,032.41x = 62,994,154.79
  5. Step 5: Solve for x
    x = 62,994,154.79/9,032.41
  6. Step 6: Final answer
    x = 6,974.24

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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.