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Finding the Fourth Proportional to 9,677.78, 14,515.86 and 3,102.20

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Solution

The fourth proportional to 9,677.78, 14,515.86 and 3,102.20 is: 4,653.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,677.78 : 14,515.86 = 3,102.20 : x
  2. Step 2: Convert to fraction form
    9,677.78/14,515.86 = 3,102.20/x
  3. Step 3: Cross multiply
    9,677.78x = 14,515.86 × 3,102.20
  4. Step 4: Simplify right side
    9,677.78x = 45,031,100.89
  5. Step 5: Solve for x
    x = 45,031,100.89/9,677.78
  6. Step 6: Final answer
    x = 4,653.04

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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.