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Finding the Fourth Proportional to 7,176.42, 9,903.42 and 4,032.61

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Solution

The fourth proportional to 7,176.42, 9,903.42 and 4,032.61 is: 5,564.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,176.42 : 9,903.42 = 4,032.61 : x
  2. Step 2: Convert to fraction form
    7,176.42/9,903.42 = 4,032.61/x
  3. Step 3: Cross multiply
    7,176.42x = 9,903.42 × 4,032.61
  4. Step 4: Simplify right side
    7,176.42x = 39,936,605.77
  5. Step 5: Solve for x
    x = 39,936,605.77/7,176.42
  6. Step 6: Final answer
    x = 5,564.98

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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.