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Finding the Fourth Proportional to 9,032.51, 12,465.33 and 5,448.59

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Solution

The fourth proportional to 9,032.51, 12,465.33 and 5,448.59 is: 7,519.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,032.51 : 12,465.33 = 5,448.59 : x
  2. Step 2: Convert to fraction form
    9,032.51/12,465.33 = 5,448.59/x
  3. Step 3: Cross multiply
    9,032.51x = 12,465.33 × 5,448.59
  4. Step 4: Simplify right side
    9,032.51x = 67,918,472.38
  5. Step 5: Solve for x
    x = 67,918,472.38/9,032.51
  6. Step 6: Final answer
    x = 7,519.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.