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Finding the Fourth Proportional to 9,849.84, 13,585.32 and 6,865.68

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Solution

The fourth proportional to 9,849.84, 13,585.32 and 6,865.68 is: 9,469.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,849.84 : 13,585.32 = 6,865.68 : x
  2. Step 2: Convert to fraction form
    9,849.84/13,585.32 = 6,865.68/x
  3. Step 3: Cross multiply
    9,849.84x = 13,585.32 × 6,865.68
  4. Step 4: Simplify right side
    9,849.84x = 93,272,459.82
  5. Step 5: Solve for x
    x = 93,272,459.82/9,849.84
  6. Step 6: Final answer
    x = 9,469.44

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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.