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Finding the Fourth Proportional to 10,876.56, 14,996.52 and 9,195

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Solution

The fourth proportional to 10,876.56, 14,996.52 and 9,195 is: 12,678.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,876.56 : 14,996.52 = 9,195 : x
  2. Step 2: Convert to fraction form
    10,876.56/14,996.52 = 9,195/x
  3. Step 3: Cross multiply
    10,876.56x = 14,996.52 × 9,195
  4. Step 4: Simplify right side
    10,876.56x = 137,893,001.40
  5. Step 5: Solve for x
    x = 137,893,001.40/10,876.56
  6. Step 6: Final answer
    x = 12,678.00

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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.