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Finding the Fourth Proportional to 9,434.07, 13,015.22 and 8,411.58

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Solution

The fourth proportional to 9,434.07, 13,015.22 and 8,411.58 is: 11,604.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,434.07 : 13,015.22 = 8,411.58 : x
  2. Step 2: Convert to fraction form
    9,434.07/13,015.22 = 8,411.58/x
  3. Step 3: Cross multiply
    9,434.07x = 13,015.22 × 8,411.58
  4. Step 4: Simplify right side
    9,434.07x = 109,478,522.19
  5. Step 5: Solve for x
    x = 109,478,522.19/9,434.07
  6. Step 6: Final answer
    x = 11,604.59

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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.