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Finding the Fourth Proportional to 9,922.38, 14,870.70 and 7,573.74

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Solution

The fourth proportional to 9,922.38, 14,870.70 and 7,573.74 is: 11,350.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,922.38 : 14,870.70 = 7,573.74 : x
  2. Step 2: Convert to fraction form
    9,922.38/14,870.70 = 7,573.74/x
  3. Step 3: Cross multiply
    9,922.38x = 14,870.70 × 7,573.74
  4. Step 4: Simplify right side
    9,922.38x = 112,626,815.42
  5. Step 5: Solve for x
    x = 112,626,815.42/9,922.38
  6. Step 6: Final answer
    x = 11,350.79

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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.