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Finding the Fourth Proportional to 6,032.14, 9,052.06 and 2,569.40

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Solution

The fourth proportional to 6,032.14, 9,052.06 and 2,569.40 is: 3,855.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,032.14 : 9,052.06 = 2,569.40 : x
  2. Step 2: Convert to fraction form
    6,032.14/9,052.06 = 2,569.40/x
  3. Step 3: Cross multiply
    6,032.14x = 9,052.06 × 2,569.40
  4. Step 4: Simplify right side
    6,032.14x = 23,258,362.96
  5. Step 5: Solve for x
    x = 23,258,362.96/6,032.14
  6. Step 6: Final answer
    x = 3,855.74

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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.