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Finding the Fourth Proportional to 10,006.64, 13,919.52 and 9,816.56

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Solution

The fourth proportional to 10,006.64, 13,919.52 and 9,816.56 is: 13,655.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,006.64 : 13,919.52 = 9,816.56 : x
  2. Step 2: Convert to fraction form
    10,006.64/13,919.52 = 9,816.56/x
  3. Step 3: Cross multiply
    10,006.64x = 13,919.52 × 9,816.56
  4. Step 4: Simplify right side
    10,006.64x = 136,641,803.25
  5. Step 5: Solve for x
    x = 136,641,803.25/10,006.64
  6. Step 6: Final answer
    x = 13,655.11

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.