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Finding the Fourth Proportional to 9,106.52, 13,655.56 and 2,865

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Solution

The fourth proportional to 9,106.52, 13,655.56 and 2,865 is: 4,296.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,106.52 : 13,655.56 = 2,865 : x
  2. Step 2: Convert to fraction form
    9,106.52/13,655.56 = 2,865/x
  3. Step 3: Cross multiply
    9,106.52x = 13,655.56 × 2,865
  4. Step 4: Simplify right side
    9,106.52x = 39,123,179.40
  5. Step 5: Solve for x
    x = 39,123,179.40/9,106.52
  6. Step 6: Final answer
    x = 4,296.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.