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Finding the Fourth Proportional to 9,489.60, 13,107.27 and 7,110.21

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Solution

The fourth proportional to 9,489.60, 13,107.27 and 7,110.21 is: 9,820.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,489.60 : 13,107.27 = 7,110.21 : x
  2. Step 2: Convert to fraction form
    9,489.60/13,107.27 = 7,110.21/x
  3. Step 3: Cross multiply
    9,489.60x = 13,107.27 × 7,110.21
  4. Step 4: Simplify right side
    9,489.60x = 93,195,518.04
  5. Step 5: Solve for x
    x = 93,195,518.04/9,489.60
  6. Step 6: Final answer
    x = 9,820.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.