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Finding the Fourth Proportional to 9,604.13, 13,253.70 and 5,188.13

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Solution

The fourth proportional to 9,604.13, 13,253.70 and 5,188.13 is: 7,159.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,604.13 : 13,253.70 = 5,188.13 : x
  2. Step 2: Convert to fraction form
    9,604.13/13,253.70 = 5,188.13/x
  3. Step 3: Cross multiply
    9,604.13x = 13,253.70 × 5,188.13
  4. Step 4: Simplify right side
    9,604.13x = 68,761,852.31
  5. Step 5: Solve for x
    x = 68,761,852.31/9,604.13
  6. Step 6: Final answer
    x = 7,159.62

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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.