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Finding the Fourth Proportional to 9,872.52, 14,808.16 and 3,298.14

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Solution

The fourth proportional to 9,872.52, 14,808.16 and 3,298.14 is: 4,947.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,872.52 : 14,808.16 = 3,298.14 : x
  2. Step 2: Convert to fraction form
    9,872.52/14,808.16 = 3,298.14/x
  3. Step 3: Cross multiply
    9,872.52x = 14,808.16 × 3,298.14
  4. Step 4: Simplify right side
    9,872.52x = 48,839,384.82
  5. Step 5: Solve for x
    x = 48,839,384.82/9,872.52
  6. Step 6: Final answer
    x = 4,947.00

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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.