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Finding the Fourth Proportional to 9,475.68, 13,074.92 and 5,697.95

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Solution

The fourth proportional to 9,475.68, 13,074.92 and 5,697.95 is: 7,862.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,475.68 : 13,074.92 = 5,697.95 : x
  2. Step 2: Convert to fraction form
    9,475.68/13,074.92 = 5,697.95/x
  3. Step 3: Cross multiply
    9,475.68x = 13,074.92 × 5,697.95
  4. Step 4: Simplify right side
    9,475.68x = 74,500,146.55
  5. Step 5: Solve for x
    x = 74,500,146.55/9,475.68
  6. Step 6: Final answer
    x = 7,862.25

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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.