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Finding the Fourth Proportional to 9,241.98, 13,862 and 2,316.48

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Solution

The fourth proportional to 9,241.98, 13,862 and 2,316.48 is: 3,474.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,241.98 : 13,862 = 2,316.48 : x
  2. Step 2: Convert to fraction form
    9,241.98/13,862 = 2,316.48/x
  3. Step 3: Cross multiply
    9,241.98x = 13,862 × 2,316.48
  4. Step 4: Simplify right side
    9,241.98x = 32,111,045.76
  5. Step 5: Solve for x
    x = 32,111,045.76/9,241.98
  6. Step 6: Final answer
    x = 3,474.48

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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.