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Finding the Fourth Proportional to 9,884.34, 13,636.56 and 6,298.65

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Solution

The fourth proportional to 9,884.34, 13,636.56 and 6,298.65 is: 8,689.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,884.34 : 13,636.56 = 6,298.65 : x
  2. Step 2: Convert to fraction form
    9,884.34/13,636.56 = 6,298.65/x
  3. Step 3: Cross multiply
    9,884.34x = 13,636.56 × 6,298.65
  4. Step 4: Simplify right side
    9,884.34x = 85,891,918.64
  5. Step 5: Solve for x
    x = 85,891,918.64/9,884.34
  6. Step 6: Final answer
    x = 8,689.70

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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.