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Finding the Fourth Proportional to 7,088,406.20, 9,782,000.94 and 3,869,142.20

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Solution

The fourth proportional to 7,088,406.20, 9,782,000.94 and 3,869,142.20 is: 5,339,416.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,088,406.20 : 9,782,000.94 = 3,869,142.20 : x
  2. Step 2: Convert to fraction form
    7,088,406.20/9,782,000.94 = 3,869,142.20/x
  3. Step 3: Cross multiply
    7,088,406.20x = 9,782,000.94 × 3,869,142.20
  4. Step 4: Simplify right side
    7,088,406.20x = 37,847,952,637,393.66
  5. Step 5: Solve for x
    x = 37,847,952,637,393.66/7,088,406.20
  6. Step 6: Final answer
    x = 5,339,416.45

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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.