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Finding the Fourth Proportional to 9,642.11, 13,307.02 and 6,057.65

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Solution

The fourth proportional to 9,642.11, 13,307.02 and 6,057.65 is: 8,360.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,642.11 : 13,307.02 = 6,057.65 : x
  2. Step 2: Convert to fraction form
    9,642.11/13,307.02 = 6,057.65/x
  3. Step 3: Cross multiply
    9,642.11x = 13,307.02 × 6,057.65
  4. Step 4: Simplify right side
    9,642.11x = 80,609,287.83
  5. Step 5: Solve for x
    x = 80,609,287.83/9,642.11
  6. Step 6: Final answer
    x = 8,360.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.