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Finding the Fourth Proportional to 5,673,132, 7,828,922.16 and 3,094,823.16

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Solution

The fourth proportional to 5,673,132, 7,828,922.16 and 3,094,823.16 is: 4,270,855.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,673,132 : 7,828,922.16 = 3,094,823.16 : x
  2. Step 2: Convert to fraction form
    5,673,132/7,828,922.16 = 3,094,823.16/x
  3. Step 3: Cross multiply
    5,673,132x = 7,828,922.16 × 3,094,823.16
  4. Step 4: Simplify right side
    5,673,132x = 24,229,129,618,605.23
  5. Step 5: Solve for x
    x = 24,229,129,618,605.23/5,673,132
  6. Step 6: Final answer
    x = 4,270,855.96

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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.