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Finding the Fourth Proportional to 6,032.67, 9,047.58 and 3,069.15

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Solution

The fourth proportional to 6,032.67, 9,047.58 and 3,069.15 is: 4,603.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,032.67 : 9,047.58 = 3,069.15 : x
  2. Step 2: Convert to fraction form
    6,032.67/9,047.58 = 3,069.15/x
  3. Step 3: Cross multiply
    6,032.67x = 9,047.58 × 3,069.15
  4. Step 4: Simplify right side
    6,032.67x = 27,768,380.16
  5. Step 5: Solve for x
    x = 27,768,380.16/6,032.67
  6. Step 6: Final answer
    x = 4,603.00

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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.