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Finding the Fourth Proportional to 6,931.92, 9,570.96 and 4,280.16

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Solution

The fourth proportional to 6,931.92, 9,570.96 and 4,280.16 is: 5,909.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,931.92 : 9,570.96 = 4,280.16 : x
  2. Step 2: Convert to fraction form
    6,931.92/9,570.96 = 4,280.16/x
  3. Step 3: Cross multiply
    6,931.92x = 9,570.96 × 4,280.16
  4. Step 4: Simplify right side
    6,931.92x = 40,965,240.15
  5. Step 5: Solve for x
    x = 40,965,240.15/6,931.92
  6. Step 6: Final answer
    x = 5,909.65

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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.