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Finding the Fourth Proportional to 9,447.53, 14,168.75 and 2,871.95

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Solution

The fourth proportional to 9,447.53, 14,168.75 and 2,871.95 is: 4,307.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,447.53 : 14,168.75 = 2,871.95 : x
  2. Step 2: Convert to fraction form
    9,447.53/14,168.75 = 2,871.95/x
  3. Step 3: Cross multiply
    9,447.53x = 14,168.75 × 2,871.95
  4. Step 4: Simplify right side
    9,447.53x = 40,691,856.36
  5. Step 5: Solve for x
    x = 40,691,856.36/9,447.53
  6. Step 6: Final answer
    x = 4,307.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.