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Finding the Fourth Proportional to 8,926.14, 12,322.36 and 6,275.82

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Solution

The fourth proportional to 8,926.14, 12,322.36 and 6,275.82 is: 8,663.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,926.14 : 12,322.36 = 6,275.82 : x
  2. Step 2: Convert to fraction form
    8,926.14/12,322.36 = 6,275.82/x
  3. Step 3: Cross multiply
    8,926.14x = 12,322.36 × 6,275.82
  4. Step 4: Simplify right side
    8,926.14x = 77,332,913.34
  5. Step 5: Solve for x
    x = 77,332,913.34/8,926.14
  6. Step 6: Final answer
    x = 8,663.65

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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.