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Finding the Fourth Proportional to 6,426, 9,642.60 and 6,377.04

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Solution

The fourth proportional to 6,426, 9,642.60 and 6,377.04 is: 9,569.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,426 : 9,642.60 = 6,377.04 : x
  2. Step 2: Convert to fraction form
    6,426/9,642.60 = 6,377.04/x
  3. Step 3: Cross multiply
    6,426x = 9,642.60 × 6,377.04
  4. Step 4: Simplify right side
    6,426x = 61,491,245.90
  5. Step 5: Solve for x
    x = 61,491,245.90/6,426
  6. Step 6: Final answer
    x = 9,569.13

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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.