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Finding the Fourth Proportional to 9,085.13, 12,537.64 and 5,052.29

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Solution

The fourth proportional to 9,085.13, 12,537.64 and 5,052.29 is: 6,972.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,085.13 : 12,537.64 = 5,052.29 : x
  2. Step 2: Convert to fraction form
    9,085.13/12,537.64 = 5,052.29/x
  3. Step 3: Cross multiply
    9,085.13x = 12,537.64 × 5,052.29
  4. Step 4: Simplify right side
    9,085.13x = 63,343,778.93
  5. Step 5: Solve for x
    x = 63,343,778.93/9,085.13
  6. Step 6: Final answer
    x = 6,972.25

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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.