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Finding the Fourth Proportional to 9,675.40, 14,513.08 and 2,655.49

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Solution

The fourth proportional to 9,675.40, 14,513.08 and 2,655.49 is: 3,983.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,675.40 : 14,513.08 = 2,655.49 : x
  2. Step 2: Convert to fraction form
    9,675.40/14,513.08 = 2,655.49/x
  3. Step 3: Cross multiply
    9,675.40x = 14,513.08 × 2,655.49
  4. Step 4: Simplify right side
    9,675.40x = 38,539,338.81
  5. Step 5: Solve for x
    x = 38,539,338.81/9,675.40
  6. Step 6: Final answer
    x = 3,983.23

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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.