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Finding the Fourth Proportional to 9,242.96, 12,758.76 and 6,274.16

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Solution

The fourth proportional to 9,242.96, 12,758.76 and 6,274.16 is: 8,660.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,242.96 : 12,758.76 = 6,274.16 : x
  2. Step 2: Convert to fraction form
    9,242.96/12,758.76 = 6,274.16/x
  3. Step 3: Cross multiply
    9,242.96x = 12,758.76 × 6,274.16
  4. Step 4: Simplify right side
    9,242.96x = 80,050,501.64
  5. Step 5: Solve for x
    x = 80,050,501.64/9,242.96
  6. Step 6: Final answer
    x = 8,660.70

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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.