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Finding the Fourth Proportional to 9,348.40, 14,023.32 and 2,774.48

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Solution

The fourth proportional to 9,348.40, 14,023.32 and 2,774.48 is: 4,161.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,348.40 : 14,023.32 = 2,774.48 : x
  2. Step 2: Convert to fraction form
    9,348.40/14,023.32 = 2,774.48/x
  3. Step 3: Cross multiply
    9,348.40x = 14,023.32 × 2,774.48
  4. Step 4: Simplify right side
    9,348.40x = 38,907,420.87
  5. Step 5: Solve for x
    x = 38,907,420.87/9,348.40
  6. Step 6: Final answer
    x = 4,161.93

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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.