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Finding the Fourth Proportional to 9,882.30, 13,636.08 and 6,345.84

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Solution

The fourth proportional to 9,882.30, 13,636.08 and 6,345.84 is: 8,756.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,882.30 : 13,636.08 = 6,345.84 : x
  2. Step 2: Convert to fraction form
    9,882.30/13,636.08 = 6,345.84/x
  3. Step 3: Cross multiply
    9,882.30x = 13,636.08 × 6,345.84
  4. Step 4: Simplify right side
    9,882.30x = 86,532,381.91
  5. Step 5: Solve for x
    x = 86,532,381.91/9,882.30
  6. Step 6: Final answer
    x = 8,756.30

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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.