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Finding the Fourth Proportional to 9,301.37, 12,841.54 and 6,473.66

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Solution

The fourth proportional to 9,301.37, 12,841.54 and 6,473.66 is: 8,937.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,301.37 : 12,841.54 = 6,473.66 : x
  2. Step 2: Convert to fraction form
    9,301.37/12,841.54 = 6,473.66/x
  3. Step 3: Cross multiply
    9,301.37x = 12,841.54 × 6,473.66
  4. Step 4: Simplify right side
    9,301.37x = 83,131,683.44
  5. Step 5: Solve for x
    x = 83,131,683.44/9,301.37
  6. Step 6: Final answer
    x = 8,937.58

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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.