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Finding the Fourth Proportional to 9,617.94, 13,276.85 and 6,475.95

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Solution

The fourth proportional to 9,617.94, 13,276.85 and 6,475.95 is: 8,939.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,617.94 : 13,276.85 = 6,475.95 : x
  2. Step 2: Convert to fraction form
    9,617.94/13,276.85 = 6,475.95/x
  3. Step 3: Cross multiply
    9,617.94x = 13,276.85 × 6,475.95
  4. Step 4: Simplify right side
    9,617.94x = 85,980,184.38
  5. Step 5: Solve for x
    x = 85,980,184.38/9,617.94
  6. Step 6: Final answer
    x = 8,939.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.