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Finding the Fourth Proportional to 9,604.19, 13,254.65 and 5,828.31

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Solution

The fourth proportional to 9,604.19, 13,254.65 and 5,828.31 is: 8,043.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,604.19 : 13,254.65 = 5,828.31 : x
  2. Step 2: Convert to fraction form
    9,604.19/13,254.65 = 5,828.31/x
  3. Step 3: Cross multiply
    9,604.19x = 13,254.65 × 5,828.31
  4. Step 4: Simplify right side
    9,604.19x = 77,252,209.14
  5. Step 5: Solve for x
    x = 77,252,209.14/9,604.19
  6. Step 6: Final answer
    x = 8,043.59

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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.