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Finding the Fourth Proportional to 10,294.82, 14,201.66 and 6,756.74

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Solution

The fourth proportional to 10,294.82, 14,201.66 and 6,756.74 is: 9,320.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,294.82 : 14,201.66 = 6,756.74 : x
  2. Step 2: Convert to fraction form
    10,294.82/14,201.66 = 6,756.74/x
  3. Step 3: Cross multiply
    10,294.82x = 14,201.66 × 6,756.74
  4. Step 4: Simplify right side
    10,294.82x = 95,956,924.19
  5. Step 5: Solve for x
    x = 95,956,924.19/10,294.82
  6. Step 6: Final answer
    x = 9,320.89

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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.