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Finding the Fourth Proportional to 9,032.80, 12,464.68 and 5,053.23

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Solution

The fourth proportional to 9,032.80, 12,464.68 and 5,053.23 is: 6,973.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,032.80 : 12,464.68 = 5,053.23 : x
  2. Step 2: Convert to fraction form
    9,032.80/12,464.68 = 5,053.23/x
  3. Step 3: Cross multiply
    9,032.80x = 12,464.68 × 5,053.23
  4. Step 4: Simplify right side
    9,032.80x = 62,986,894.92
  5. Step 5: Solve for x
    x = 62,986,894.92/9,032.80
  6. Step 6: Final answer
    x = 6,973.13

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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.