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Finding the Fourth Proportional to 9,884.61, 14,756.40 and 9,538.59

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Solution

The fourth proportional to 9,884.61, 14,756.40 and 9,538.59 is: 14,239.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,884.61 : 14,756.40 = 9,538.59 : x
  2. Step 2: Convert to fraction form
    9,884.61/14,756.40 = 9,538.59/x
  3. Step 3: Cross multiply
    9,884.61x = 14,756.40 × 9,538.59
  4. Step 4: Simplify right side
    9,884.61x = 140,755,249.48
  5. Step 5: Solve for x
    x = 140,755,249.48/9,884.61
  6. Step 6: Final answer
    x = 14,239.84

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.