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Finding the Fourth Proportional to 7,470.36, 11,209.68 and 6,294.87

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Solution

The fourth proportional to 7,470.36, 11,209.68 and 6,294.87 is: 9,445.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,470.36 : 11,209.68 = 6,294.87 : x
  2. Step 2: Convert to fraction form
    7,470.36/11,209.68 = 6,294.87/x
  3. Step 3: Cross multiply
    7,470.36x = 11,209.68 × 6,294.87
  4. Step 4: Simplify right side
    7,470.36x = 70,563,478.34
  5. Step 5: Solve for x
    x = 70,563,478.34/7,470.36
  6. Step 6: Final answer
    x = 9,445.79

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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.