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Finding the Fourth Proportional to 7,176.07, 9,902.97 and 4,032.25

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Solution

The fourth proportional to 7,176.07, 9,902.97 and 4,032.25 is: 5,564.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,176.07 : 9,902.97 = 4,032.25 : x
  2. Step 2: Convert to fraction form
    7,176.07/9,902.97 = 4,032.25/x
  3. Step 3: Cross multiply
    7,176.07x = 9,902.97 × 4,032.25
  4. Step 4: Simplify right side
    7,176.07x = 39,931,250.78
  5. Step 5: Solve for x
    x = 39,931,250.78/7,176.07
  6. Step 6: Final answer
    x = 5,564.50

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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.