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Finding the Fourth Proportional to 9,126.13, 13,693.31 and 5,230.54

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Solution

The fourth proportional to 9,126.13, 13,693.31 and 5,230.54 is: 7,848.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,126.13 : 13,693.31 = 5,230.54 : x
  2. Step 2: Convert to fraction form
    9,126.13/13,693.31 = 5,230.54/x
  3. Step 3: Cross multiply
    9,126.13x = 13,693.31 × 5,230.54
  4. Step 4: Simplify right side
    9,126.13x = 71,623,405.69
  5. Step 5: Solve for x
    x = 71,623,405.69/9,126.13
  6. Step 6: Final answer
    x = 7,848.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.