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Finding the Fourth Proportional to 6,264.81, 9,407.07 and 5,096.52

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Solution

The fourth proportional to 6,264.81, 9,407.07 and 5,096.52 is: 7,652.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,264.81 : 9,407.07 = 5,096.52 : x
  2. Step 2: Convert to fraction form
    6,264.81/9,407.07 = 5,096.52/x
  3. Step 3: Cross multiply
    6,264.81x = 9,407.07 × 5,096.52
  4. Step 4: Simplify right side
    6,264.81x = 47,943,320.40
  5. Step 5: Solve for x
    x = 47,943,320.40/6,264.81
  6. Step 6: Final answer
    x = 7,652.80

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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.