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Finding the Fourth Proportional to 9,927.68, 14,902.45 and 7,860.96

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Solution

The fourth proportional to 9,927.68, 14,902.45 and 7,860.96 is: 11,800.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,927.68 : 14,902.45 = 7,860.96 : x
  2. Step 2: Convert to fraction form
    9,927.68/14,902.45 = 7,860.96/x
  3. Step 3: Cross multiply
    9,927.68x = 14,902.45 × 7,860.96
  4. Step 4: Simplify right side
    9,927.68x = 117,147,543.70
  5. Step 5: Solve for x
    x = 117,147,543.70/9,927.68
  6. Step 6: Final answer
    x = 11,800.10

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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.