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Finding the Fourth Proportional to 9,802.42, 14,703.36 and 3,958.81

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Solution

The fourth proportional to 9,802.42, 14,703.36 and 3,958.81 is: 5,938.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,802.42 : 14,703.36 = 3,958.81 : x
  2. Step 2: Convert to fraction form
    9,802.42/14,703.36 = 3,958.81/x
  3. Step 3: Cross multiply
    9,802.42x = 14,703.36 × 3,958.81
  4. Step 4: Simplify right side
    9,802.42x = 58,207,808.60
  5. Step 5: Solve for x
    x = 58,207,808.60/9,802.42
  6. Step 6: Final answer
    x = 5,938.11

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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.