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Finding the Fourth Proportional to 9,678.84, 13,354.76 and 6,326.57

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Solution

The fourth proportional to 9,678.84, 13,354.76 and 6,326.57 is: 8,729.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,678.84 : 13,354.76 = 6,326.57 : x
  2. Step 2: Convert to fraction form
    9,678.84/13,354.76 = 6,326.57/x
  3. Step 3: Cross multiply
    9,678.84x = 13,354.76 × 6,326.57
  4. Step 4: Simplify right side
    9,678.84x = 84,489,725.57
  5. Step 5: Solve for x
    x = 84,489,725.57/9,678.84
  6. Step 6: Final answer
    x = 8,729.32

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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.