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Finding the Fourth Proportional to 9,743.40, 14,615.10 and 7,799.40

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Solution

The fourth proportional to 9,743.40, 14,615.10 and 7,799.40 is: 11,699.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,743.40 : 14,615.10 = 7,799.40 : x
  2. Step 2: Convert to fraction form
    9,743.40/14,615.10 = 7,799.40/x
  3. Step 3: Cross multiply
    9,743.40x = 14,615.10 × 7,799.40
  4. Step 4: Simplify right side
    9,743.40x = 113,989,010.94
  5. Step 5: Solve for x
    x = 113,989,010.94/9,743.40
  6. Step 6: Final answer
    x = 11,699.10

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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.