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Finding the Fourth Proportional to 9,675.84, 14,512.66 and 2,656.38

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Solution

The fourth proportional to 9,675.84, 14,512.66 and 2,656.38 is: 3,984.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,675.84 : 14,512.66 = 2,656.38 : x
  2. Step 2: Convert to fraction form
    9,675.84/14,512.66 = 2,656.38/x
  3. Step 3: Cross multiply
    9,675.84x = 14,512.66 × 2,656.38
  4. Step 4: Simplify right side
    9,675.84x = 38,551,139.77
  5. Step 5: Solve for x
    x = 38,551,139.77/9,675.84
  6. Step 6: Final answer
    x = 3,984.27

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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.