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Finding the Fourth Proportional to 10,074.60, 13,886.76 and 6,843.42

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Solution

The fourth proportional to 10,074.60, 13,886.76 and 6,843.42 is: 9,432.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,074.60 : 13,886.76 = 6,843.42 : x
  2. Step 2: Convert to fraction form
    10,074.60/13,886.76 = 6,843.42/x
  3. Step 3: Cross multiply
    10,074.60x = 13,886.76 × 6,843.42
  4. Step 4: Simplify right side
    10,074.60x = 95,032,931.12
  5. Step 5: Solve for x
    x = 95,032,931.12/10,074.60
  6. Step 6: Final answer
    x = 9,432.92

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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.