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Finding the Fourth Proportional to 9,032.03, 12,458.98 and 5,444.54

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Solution

The fourth proportional to 9,032.03, 12,458.98 and 5,444.54 is: 7,510.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,032.03 : 12,458.98 = 5,444.54 : x
  2. Step 2: Convert to fraction form
    9,032.03/12,458.98 = 5,444.54/x
  3. Step 3: Cross multiply
    9,032.03x = 12,458.98 × 5,444.54
  4. Step 4: Simplify right side
    9,032.03x = 67,833,414.97
  5. Step 5: Solve for x
    x = 67,833,414.97/9,032.03
  6. Step 6: Final answer
    x = 7,510.32

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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.