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Finding the Fourth Proportional to 9,478.48, 14,222.52 and 6,394

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Solution

The fourth proportional to 9,478.48, 14,222.52 and 6,394 is: 9,594.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,478.48 : 14,222.52 = 6,394 : x
  2. Step 2: Convert to fraction form
    9,478.48/14,222.52 = 6,394/x
  3. Step 3: Cross multiply
    9,478.48x = 14,222.52 × 6,394
  4. Step 4: Simplify right side
    9,478.48x = 90,938,792.88
  5. Step 5: Solve for x
    x = 90,938,792.88/9,478.48
  6. Step 6: Final answer
    x = 9,594.24

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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.