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Finding the Fourth Proportional to 9,340.04, 14,010.06 and 2,414

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Solution

The fourth proportional to 9,340.04, 14,010.06 and 2,414 is: 3,621.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,340.04 : 14,010.06 = 2,414 : x
  2. Step 2: Convert to fraction form
    9,340.04/14,010.06 = 2,414/x
  3. Step 3: Cross multiply
    9,340.04x = 14,010.06 × 2,414
  4. Step 4: Simplify right side
    9,340.04x = 33,820,284.84
  5. Step 5: Solve for x
    x = 33,820,284.84/9,340.04
  6. Step 6: Final answer
    x = 3,621.00

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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.