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Finding the Fourth Proportional to 9,927.64, 14,862.30 and 7,832.98

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Solution

The fourth proportional to 9,927.64, 14,862.30 and 7,832.98 is: 11,726.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,927.64 : 14,862.30 = 7,832.98 : x
  2. Step 2: Convert to fraction form
    9,927.64/14,862.30 = 7,832.98/x
  3. Step 3: Cross multiply
    9,927.64x = 14,862.30 × 7,832.98
  4. Step 4: Simplify right side
    9,927.64x = 116,416,098.65
  5. Step 5: Solve for x
    x = 116,416,098.65/9,927.64
  6. Step 6: Final answer
    x = 11,726.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.