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Finding the Fourth Proportional to 9,478.36, 14,219.13 and 2,902.96

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Solution

The fourth proportional to 9,478.36, 14,219.13 and 2,902.96 is: 4,354.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,478.36 : 14,219.13 = 2,902.96 : x
  2. Step 2: Convert to fraction form
    9,478.36/14,219.13 = 2,902.96/x
  3. Step 3: Cross multiply
    9,478.36x = 14,219.13 × 2,902.96
  4. Step 4: Simplify right side
    9,478.36x = 41,277,565.62
  5. Step 5: Solve for x
    x = 41,277,565.62/9,478.36
  6. Step 6: Final answer
    x = 4,354.93

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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.