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Finding the Fourth Proportional to 9,922.16, 14,881.08 and 4,986.56

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Solution

The fourth proportional to 9,922.16, 14,881.08 and 4,986.56 is: 7,478.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,922.16 : 14,881.08 = 4,986.56 : x
  2. Step 2: Convert to fraction form
    9,922.16/14,881.08 = 4,986.56/x
  3. Step 3: Cross multiply
    9,922.16x = 14,881.08 × 4,986.56
  4. Step 4: Simplify right side
    9,922.16x = 74,205,398.28
  5. Step 5: Solve for x
    x = 74,205,398.28/9,922.16
  6. Step 6: Final answer
    x = 7,478.75

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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.