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Finding the Fourth Proportional to 9,354.34, 12,908.98 and 5,997.15

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Solution

The fourth proportional to 9,354.34, 12,908.98 and 5,997.15 is: 8,276.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,354.34 : 12,908.98 = 5,997.15 : x
  2. Step 2: Convert to fraction form
    9,354.34/12,908.98 = 5,997.15/x
  3. Step 3: Cross multiply
    9,354.34x = 12,908.98 × 5,997.15
  4. Step 4: Simplify right side
    9,354.34x = 77,417,089.41
  5. Step 5: Solve for x
    x = 77,417,089.41/9,354.34
  6. Step 6: Final answer
    x = 8,276.06

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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.