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Finding the Fourth Proportional to 9,107.93, 12,568.14 and 5,570.43

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Solution

The fourth proportional to 9,107.93, 12,568.14 and 5,570.43 is: 7,686.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,107.93 : 12,568.14 = 5,570.43 : x
  2. Step 2: Convert to fraction form
    9,107.93/12,568.14 = 5,570.43/x
  3. Step 3: Cross multiply
    9,107.93x = 12,568.14 × 5,570.43
  4. Step 4: Simplify right side
    9,107.93x = 70,009,944.10
  5. Step 5: Solve for x
    x = 70,009,944.10/9,107.93
  6. Step 6: Final answer
    x = 7,686.71

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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.