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Finding the Fourth Proportional to 6,645.81, 9,952.50 and 6,470.85

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Solution

The fourth proportional to 6,645.81, 9,952.50 and 6,470.85 is: 9,690.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,645.81 : 9,952.50 = 6,470.85 : x
  2. Step 2: Convert to fraction form
    6,645.81/9,952.50 = 6,470.85/x
  3. Step 3: Cross multiply
    6,645.81x = 9,952.50 × 6,470.85
  4. Step 4: Simplify right side
    6,645.81x = 64,401,134.63
  5. Step 5: Solve for x
    x = 64,401,134.63/6,645.81
  6. Step 6: Final answer
    x = 9,690.49

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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.