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Finding the Fourth Proportional to 9,109.52, 13,666.10 and 2,871.10

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Solution

The fourth proportional to 9,109.52, 13,666.10 and 2,871.10 is: 4,307.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,109.52 : 13,666.10 = 2,871.10 : x
  2. Step 2: Convert to fraction form
    9,109.52/13,666.10 = 2,871.10/x
  3. Step 3: Cross multiply
    9,109.52x = 13,666.10 × 2,871.10
  4. Step 4: Simplify right side
    9,109.52x = 39,236,739.71
  5. Step 5: Solve for x
    x = 39,236,739.71/9,109.52
  6. Step 6: Final answer
    x = 4,307.22

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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.