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Finding the Fourth Proportional to 9,932.64, 14,869.80 and 7,837.98

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Solution

The fourth proportional to 9,932.64, 14,869.80 and 7,837.98 is: 11,733.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,932.64 : 14,869.80 = 7,837.98 : x
  2. Step 2: Convert to fraction form
    9,932.64/14,869.80 = 7,837.98/x
  3. Step 3: Cross multiply
    9,932.64x = 14,869.80 × 7,837.98
  4. Step 4: Simplify right side
    9,932.64x = 116,549,195.00
  5. Step 5: Solve for x
    x = 116,549,195.00/9,932.64
  6. Step 6: Final answer
    x = 11,733.96

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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.