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Finding the Fourth Proportional to 9,680.43, 13,358.19 and 5,430.90

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Solution

The fourth proportional to 9,680.43, 13,358.19 and 5,430.90 is: 7,494.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,680.43 : 13,358.19 = 5,430.90 : x
  2. Step 2: Convert to fraction form
    9,680.43/13,358.19 = 5,430.90/x
  3. Step 3: Cross multiply
    9,680.43x = 13,358.19 × 5,430.90
  4. Step 4: Simplify right side
    9,680.43x = 72,546,994.07
  5. Step 5: Solve for x
    x = 72,546,994.07/9,680.43
  6. Step 6: Final answer
    x = 7,494.19

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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.