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Finding the Fourth Proportional to 9,348.90, 14,024.70 and 3,109.20

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Solution

The fourth proportional to 9,348.90, 14,024.70 and 3,109.20 is: 4,664.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,348.90 : 14,024.70 = 3,109.20 : x
  2. Step 2: Convert to fraction form
    9,348.90/14,024.70 = 3,109.20/x
  3. Step 3: Cross multiply
    9,348.90x = 14,024.70 × 3,109.20
  4. Step 4: Simplify right side
    9,348.90x = 43,605,597.24
  5. Step 5: Solve for x
    x = 43,605,597.24/9,348.90
  6. Step 6: Final answer
    x = 4,664.25

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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.