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Finding the Fourth Proportional to 9,170.30, 13,756.24 and 2,931.20

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Solution

The fourth proportional to 9,170.30, 13,756.24 and 2,931.20 is: 4,397.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,170.30 : 13,756.24 = 2,931.20 : x
  2. Step 2: Convert to fraction form
    9,170.30/13,756.24 = 2,931.20/x
  3. Step 3: Cross multiply
    9,170.30x = 13,756.24 × 2,931.20
  4. Step 4: Simplify right side
    9,170.30x = 40,322,290.69
  5. Step 5: Solve for x
    x = 40,322,290.69/9,170.30
  6. Step 6: Final answer
    x = 4,397.05

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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.