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Finding the Fourth Proportional to 7,117,530.86, 9,822,197.82 and 3,854,349.14

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Solution

The fourth proportional to 7,117,530.86, 9,822,197.82 and 3,854,349.14 is: 5,319,004.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,117,530.86 : 9,822,197.82 = 3,854,349.14 : x
  2. Step 2: Convert to fraction form
    7,117,530.86/9,822,197.82 = 3,854,349.14/x
  3. Step 3: Cross multiply
    7,117,530.86x = 9,822,197.82 × 3,854,349.14
  4. Step 4: Simplify right side
    7,117,530.86x = 37,858,179,720,426.88
  5. Step 5: Solve for x
    x = 37,858,179,720,426.88/7,117,530.86
  6. Step 6: Final answer
    x = 5,319,004.65

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