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Finding the Fourth Proportional to 10,385.84, 14,322.72 and 6,842.88

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Solution

The fourth proportional to 10,385.84, 14,322.72 and 6,842.88 is: 9,436.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,385.84 : 14,322.72 = 6,842.88 : x
  2. Step 2: Convert to fraction form
    10,385.84/14,322.72 = 6,842.88/x
  3. Step 3: Cross multiply
    10,385.84x = 14,322.72 × 6,842.88
  4. Step 4: Simplify right side
    10,385.84x = 98,008,654.23
  5. Step 5: Solve for x
    x = 98,008,654.23/10,385.84
  6. Step 6: Final answer
    x = 9,436.76

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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.