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Finding the Fourth Proportional to 9,129.10, 13,705.80 and 7,282.30

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Solution

The fourth proportional to 9,129.10, 13,705.80 and 7,282.30 is: 10,933.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,129.10 : 13,705.80 = 7,282.30 : x
  2. Step 2: Convert to fraction form
    9,129.10/13,705.80 = 7,282.30/x
  3. Step 3: Cross multiply
    9,129.10x = 13,705.80 × 7,282.30
  4. Step 4: Simplify right side
    9,129.10x = 99,809,747.34
  5. Step 5: Solve for x
    x = 99,809,747.34/9,129.10
  6. Step 6: Final answer
    x = 10,933.14

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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.