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Finding the Fourth Proportional to 9,693.40, 14,540.10 and 7,360.60

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Solution

The fourth proportional to 9,693.40, 14,540.10 and 7,360.60 is: 11,040.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,693.40 : 14,540.10 = 7,360.60 : x
  2. Step 2: Convert to fraction form
    9,693.40/14,540.10 = 7,360.60/x
  3. Step 3: Cross multiply
    9,693.40x = 14,540.10 × 7,360.60
  4. Step 4: Simplify right side
    9,693.40x = 107,023,860.06
  5. Step 5: Solve for x
    x = 107,023,860.06/9,693.40
  6. Step 6: Final answer
    x = 11,040.90

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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.