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Finding the Fourth Proportional to 9,726.16, 14,586.18 and 3,150.82

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Solution

The fourth proportional to 9,726.16, 14,586.18 and 3,150.82 is: 4,725.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,726.16 : 14,586.18 = 3,150.82 : x
  2. Step 2: Convert to fraction form
    9,726.16/14,586.18 = 3,150.82/x
  3. Step 3: Cross multiply
    9,726.16x = 14,586.18 × 3,150.82
  4. Step 4: Simplify right side
    9,726.16x = 45,958,427.67
  5. Step 5: Solve for x
    x = 45,958,427.67/9,726.16
  6. Step 6: Final answer
    x = 4,725.24

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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.