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Finding the Fourth Proportional to 9,851.67, 14,772.60 and 4,924.17

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Solution

The fourth proportional to 9,851.67, 14,772.60 and 4,924.17 is: 7,383.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,851.67 : 14,772.60 = 4,924.17 : x
  2. Step 2: Convert to fraction form
    9,851.67/14,772.60 = 4,924.17/x
  3. Step 3: Cross multiply
    9,851.67x = 14,772.60 × 4,924.17
  4. Step 4: Simplify right side
    9,851.67x = 72,742,793.74
  5. Step 5: Solve for x
    x = 72,742,793.74/9,851.67
  6. Step 6: Final answer
    x = 7,383.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.