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Finding the Fourth Proportional to 6,156.25, 9,235.59 and 2,260.69

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Solution

The fourth proportional to 6,156.25, 9,235.59 and 2,260.69 is: 3,391.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,156.25 : 9,235.59 = 2,260.69 : x
  2. Step 2: Convert to fraction form
    6,156.25/9,235.59 = 2,260.69/x
  3. Step 3: Cross multiply
    6,156.25x = 9,235.59 × 2,260.69
  4. Step 4: Simplify right side
    6,156.25x = 20,878,748.48
  5. Step 5: Solve for x
    x = 20,878,748.48/6,156.25
  6. Step 6: Final answer
    x = 3,391.47

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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.