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Finding the Fourth Proportional to 9,769,249.42, 13,465,992.32 and 7,700,894.17

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Solution

The fourth proportional to 9,769,249.42, 13,465,992.32 and 7,700,894.17 is: 10,614,958.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,769,249.42 : 13,465,992.32 = 7,700,894.17 : x
  2. Step 2: Convert to fraction form
    9,769,249.42/13,465,992.32 = 7,700,894.17/x
  3. Step 3: Cross multiply
    9,769,249.42x = 13,465,992.32 × 7,700,894.17
  4. Step 4: Simplify right side
    9,769,249.42x = 103,700,181,707,061.67
  5. Step 5: Solve for x
    x = 103,700,181,707,061.67/9,769,249.42
  6. Step 6: Final answer
    x = 10,614,958.97

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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.