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Finding the Fourth Proportional to 9,354.18, 12,908.42 and 5,162.34

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Solution

The fourth proportional to 9,354.18, 12,908.42 and 5,162.34 is: 7,123.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,354.18 : 12,908.42 = 5,162.34 : x
  2. Step 2: Convert to fraction form
    9,354.18/12,908.42 = 5,162.34/x
  3. Step 3: Cross multiply
    9,354.18x = 12,908.42 × 5,162.34
  4. Step 4: Simplify right side
    9,354.18x = 66,637,652.90
  5. Step 5: Solve for x
    x = 66,637,652.90/9,354.18
  6. Step 6: Final answer
    x = 7,123.84

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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.