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Finding the Fourth Proportional to 9,433.80, 13,010.22 and 6,293.16

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Solution

The fourth proportional to 9,433.80, 13,010.22 and 6,293.16 is: 8,678.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,433.80 : 13,010.22 = 6,293.16 : x
  2. Step 2: Convert to fraction form
    9,433.80/13,010.22 = 6,293.16/x
  3. Step 3: Cross multiply
    9,433.80x = 13,010.22 × 6,293.16
  4. Step 4: Simplify right side
    9,433.80x = 81,875,396.10
  5. Step 5: Solve for x
    x = 81,875,396.10/9,433.80
  6. Step 6: Final answer
    x = 8,678.94

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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.