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Finding the Fourth Proportional to 9,922.84, 13,693.05 and 5,446.51

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Solution

The fourth proportional to 9,922.84, 13,693.05 and 5,446.51 is: 7,515.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,922.84 : 13,693.05 = 5,446.51 : x
  2. Step 2: Convert to fraction form
    9,922.84/13,693.05 = 5,446.51/x
  3. Step 3: Cross multiply
    9,922.84x = 13,693.05 × 5,446.51
  4. Step 4: Simplify right side
    9,922.84x = 74,579,299.52
  5. Step 5: Solve for x
    x = 74,579,299.52/9,922.84
  6. Step 6: Final answer
    x = 7,515.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.