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Finding the Fourth Proportional to 9,354.90, 12,904.35 and 5,996.52

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Solution

The fourth proportional to 9,354.90, 12,904.35 and 5,996.52 is: 8,271.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,354.90 : 12,904.35 = 5,996.52 : x
  2. Step 2: Convert to fraction form
    9,354.90/12,904.35 = 5,996.52/x
  3. Step 3: Cross multiply
    9,354.90x = 12,904.35 × 5,996.52
  4. Step 4: Simplify right side
    9,354.90x = 77,381,192.86
  5. Step 5: Solve for x
    x = 77,381,192.86/9,354.90
  6. Step 6: Final answer
    x = 8,271.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.