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Finding the Fourth Proportional to 6,501.89, 9,752.84 and 5,122.56

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Solution

The fourth proportional to 6,501.89, 9,752.84 and 5,122.56 is: 7,683.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,501.89 : 9,752.84 = 5,122.56 : x
  2. Step 2: Convert to fraction form
    6,501.89/9,752.84 = 5,122.56/x
  3. Step 3: Cross multiply
    6,501.89x = 9,752.84 × 5,122.56
  4. Step 4: Simplify right side
    6,501.89x = 49,959,482.46
  5. Step 5: Solve for x
    x = 49,959,482.46/6,501.89
  6. Step 6: Final answer
    x = 7,683.85

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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.