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Finding the Fourth Proportional to 9,922.84, 14,876.58 and 4,447

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Solution

The fourth proportional to 9,922.84, 14,876.58 and 4,447 is: 6,667.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,922.84 : 14,876.58 = 4,447 : x
  2. Step 2: Convert to fraction form
    9,922.84/14,876.58 = 4,447/x
  3. Step 3: Cross multiply
    9,922.84x = 14,876.58 × 4,447
  4. Step 4: Simplify right side
    9,922.84x = 66,156,151.26
  5. Step 5: Solve for x
    x = 66,156,151.26/9,922.84
  6. Step 6: Final answer
    x = 6,667.06

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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.