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Finding the Fourth Proportional to 9,085.60, 12,538.74 and 6,843.52

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Solution

The fourth proportional to 9,085.60, 12,538.74 and 6,843.52 is: 9,444.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,085.60 : 12,538.74 = 6,843.52 : x
  2. Step 2: Convert to fraction form
    9,085.60/12,538.74 = 6,843.52/x
  3. Step 3: Cross multiply
    9,085.60x = 12,538.74 × 6,843.52
  4. Step 4: Simplify right side
    9,085.60x = 85,809,117.96
  5. Step 5: Solve for x
    x = 85,809,117.96/9,085.60
  6. Step 6: Final answer
    x = 9,444.52

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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.