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Finding the Fourth Proportional to 9,990.42, 13,781.25 and 7,010.70

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Solution

The fourth proportional to 9,990.42, 13,781.25 and 7,010.70 is: 9,670.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,990.42 : 13,781.25 = 7,010.70 : x
  2. Step 2: Convert to fraction form
    9,990.42/13,781.25 = 7,010.70/x
  3. Step 3: Cross multiply
    9,990.42x = 13,781.25 × 7,010.70
  4. Step 4: Simplify right side
    9,990.42x = 96,616,209.38
  5. Step 5: Solve for x
    x = 96,616,209.38/9,990.42
  6. Step 6: Final answer
    x = 9,670.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.