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Finding the Fourth Proportional to 9,677.52, 13,342.45 and 6,268.46

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Solution

The fourth proportional to 9,677.52, 13,342.45 and 6,268.46 is: 8,642.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,677.52 : 13,342.45 = 6,268.46 : x
  2. Step 2: Convert to fraction form
    9,677.52/13,342.45 = 6,268.46/x
  3. Step 3: Cross multiply
    9,677.52x = 13,342.45 × 6,268.46
  4. Step 4: Simplify right side
    9,677.52x = 83,636,614.13
  5. Step 5: Solve for x
    x = 83,636,614.13/9,677.52
  6. Step 6: Final answer
    x = 8,642.36

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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.