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Finding the Fourth Proportional to 9,840.24, 14,754.78 and 3,264.66

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Solution

The fourth proportional to 9,840.24, 14,754.78 and 3,264.66 is: 4,895.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,840.24 : 14,754.78 = 3,264.66 : x
  2. Step 2: Convert to fraction form
    9,840.24/14,754.78 = 3,264.66/x
  3. Step 3: Cross multiply
    9,840.24x = 14,754.78 × 3,264.66
  4. Step 4: Simplify right side
    9,840.24x = 48,169,340.07
  5. Step 5: Solve for x
    x = 48,169,340.07/9,840.24
  6. Step 6: Final answer
    x = 4,895.14

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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.