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Finding the Fourth Proportional to 9,340.56, 14,011.08 and 2,415

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Solution

The fourth proportional to 9,340.56, 14,011.08 and 2,415 is: 3,622.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,340.56 : 14,011.08 = 2,415 : x
  2. Step 2: Convert to fraction form
    9,340.56/14,011.08 = 2,415/x
  3. Step 3: Cross multiply
    9,340.56x = 14,011.08 × 2,415
  4. Step 4: Simplify right side
    9,340.56x = 33,836,758.20
  5. Step 5: Solve for x
    x = 33,836,758.20/9,340.56
  6. Step 6: Final answer
    x = 3,622.56

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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.