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Finding the Fourth Proportional to 9,434.65, 13,019.97 and 5,401.46

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Solution

The fourth proportional to 9,434.65, 13,019.97 and 5,401.46 is: 7,454.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,434.65 : 13,019.97 = 5,401.46 : x
  2. Step 2: Convert to fraction form
    9,434.65/13,019.97 = 5,401.46/x
  3. Step 3: Cross multiply
    9,434.65x = 13,019.97 × 5,401.46
  4. Step 4: Simplify right side
    9,434.65x = 70,326,847.16
  5. Step 5: Solve for x
    x = 70,326,847.16/9,434.65
  6. Step 6: Final answer
    x = 7,454.10

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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.