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Finding the Fourth Proportional to 9,348.72, 14,008.42 and 5,878.68

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Solution

The fourth proportional to 9,348.72, 14,008.42 and 5,878.68 is: 8,808.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,348.72 : 14,008.42 = 5,878.68 : x
  2. Step 2: Convert to fraction form
    9,348.72/14,008.42 = 5,878.68/x
  3. Step 3: Cross multiply
    9,348.72x = 14,008.42 × 5,878.68
  4. Step 4: Simplify right side
    9,348.72x = 82,351,018.49
  5. Step 5: Solve for x
    x = 82,351,018.49/9,348.72
  6. Step 6: Final answer
    x = 8,808.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.