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Finding the Fourth Proportional to 9,192.06, 13,785.84 and 4,257

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Solution

The fourth proportional to 9,192.06, 13,785.84 and 4,257 is: 6,384.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,192.06 : 13,785.84 = 4,257 : x
  2. Step 2: Convert to fraction form
    9,192.06/13,785.84 = 4,257/x
  3. Step 3: Cross multiply
    9,192.06x = 13,785.84 × 4,257
  4. Step 4: Simplify right side
    9,192.06x = 58,686,320.88
  5. Step 5: Solve for x
    x = 58,686,320.88/9,192.06
  6. Step 6: Final answer
    x = 6,384.46

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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.