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Finding the Fourth Proportional to 7,397.42, 10,199.25 and 6,438.89

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Solution

The fourth proportional to 7,397.42, 10,199.25 and 6,438.89 is: 8,877.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,397.42 : 10,199.25 = 6,438.89 : x
  2. Step 2: Convert to fraction form
    7,397.42/10,199.25 = 6,438.89/x
  3. Step 3: Cross multiply
    7,397.42x = 10,199.25 × 6,438.89
  4. Step 4: Simplify right side
    7,397.42x = 65,671,874.33
  5. Step 5: Solve for x
    x = 65,671,874.33/7,397.42
  6. Step 6: Final answer
    x = 8,877.68

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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.