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Finding the Fourth Proportional to 6,475.45, 9,710.80 and 2,314.34

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Solution

The fourth proportional to 6,475.45, 9,710.80 and 2,314.34 is: 3,470.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,475.45 : 9,710.80 = 2,314.34 : x
  2. Step 2: Convert to fraction form
    6,475.45/9,710.80 = 2,314.34/x
  3. Step 3: Cross multiply
    6,475.45x = 9,710.80 × 2,314.34
  4. Step 4: Simplify right side
    6,475.45x = 22,474,032.75
  5. Step 5: Solve for x
    x = 22,474,032.75/6,475.45
  6. Step 6: Final answer
    x = 3,470.65

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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.