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Finding the Fourth Proportional to 8,354.30, 12,506.85 and 6,172.77

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Solution

The fourth proportional to 8,354.30, 12,506.85 and 6,172.77 is: 9,240.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,354.30 : 12,506.85 = 6,172.77 : x
  2. Step 2: Convert to fraction form
    8,354.30/12,506.85 = 6,172.77/x
  3. Step 3: Cross multiply
    8,354.30x = 12,506.85 × 6,172.77
  4. Step 4: Simplify right side
    8,354.30x = 77,201,877.61
  5. Step 5: Solve for x
    x = 77,201,877.61/8,354.30
  6. Step 6: Final answer
    x = 9,240.98

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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.