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Finding the Fourth Proportional to 9,675.84, 14,514.96 and 3,102.48

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Solution

The fourth proportional to 9,675.84, 14,514.96 and 3,102.48 is: 4,654.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,675.84 : 14,514.96 = 3,102.48 : x
  2. Step 2: Convert to fraction form
    9,675.84/14,514.96 = 3,102.48/x
  3. Step 3: Cross multiply
    9,675.84x = 14,514.96 × 3,102.48
  4. Step 4: Simplify right side
    9,675.84x = 45,032,373.10
  5. Step 5: Solve for x
    x = 45,032,373.10/9,675.84
  6. Step 6: Final answer
    x = 4,654.10

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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.