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Finding the Fourth Proportional to 6,441.74, 9,660.33 and 3,064.13

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Solution

The fourth proportional to 6,441.74, 9,660.33 and 3,064.13 is: 4,595.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,441.74 : 9,660.33 = 3,064.13 : x
  2. Step 2: Convert to fraction form
    6,441.74/9,660.33 = 3,064.13/x
  3. Step 3: Cross multiply
    6,441.74x = 9,660.33 × 3,064.13
  4. Step 4: Simplify right side
    6,441.74x = 29,600,547.02
  5. Step 5: Solve for x
    x = 29,600,547.02/6,441.74
  6. Step 6: Final answer
    x = 4,595.12

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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.