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Finding the Fourth Proportional to 7,117,593.76, 9,822,284.58 and 3,854,412.01

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Solution

The fourth proportional to 7,117,593.76, 9,822,284.58 and 3,854,412.01 is: 5,319,091.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,117,593.76 : 9,822,284.58 = 3,854,412.01 : x
  2. Step 2: Convert to fraction form
    7,117,593.76/9,822,284.58 = 3,854,412.01/x
  3. Step 3: Cross multiply
    7,117,593.76x = 9,822,284.58 × 3,854,412.01
  4. Step 4: Simplify right side
    7,117,593.76x = 37,859,131,650,789.80
  5. Step 5: Solve for x
    x = 37,859,131,650,789.80/7,117,593.76
  6. Step 6: Final answer
    x = 5,319,091.39

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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.