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Finding the Fourth Proportional to 10,282.88, 14,194.08 and 6,746.88

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Solution

The fourth proportional to 10,282.88, 14,194.08 and 6,746.88 is: 9,313.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,282.88 : 14,194.08 = 6,746.88 : x
  2. Step 2: Convert to fraction form
    10,282.88/14,194.08 = 6,746.88/x
  3. Step 3: Cross multiply
    10,282.88x = 14,194.08 × 6,746.88
  4. Step 4: Simplify right side
    10,282.88x = 95,765,754.47
  5. Step 5: Solve for x
    x = 95,765,754.47/10,282.88
  6. Step 6: Final answer
    x = 9,313.13

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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.