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Finding the Fourth Proportional to 9,726.66, 14,586.93 and 3,151.32

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Solution

The fourth proportional to 9,726.66, 14,586.93 and 3,151.32 is: 4,725.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,726.66 : 14,586.93 = 3,151.32 : x
  2. Step 2: Convert to fraction form
    9,726.66/14,586.93 = 3,151.32/x
  3. Step 3: Cross multiply
    9,726.66x = 14,586.93 × 3,151.32
  4. Step 4: Simplify right side
    9,726.66x = 45,968,084.25
  5. Step 5: Solve for x
    x = 45,968,084.25/9,726.66
  6. Step 6: Final answer
    x = 4,725.99

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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.