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Finding the Fourth Proportional to 7,766,540.40, 11,649,810.60 and 6,349,364.40

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Solution

The fourth proportional to 7,766,540.40, 11,649,810.60 and 6,349,364.40 is: 9,524,046.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,766,540.40 : 11,649,810.60 = 6,349,364.40 : x
  2. Step 2: Convert to fraction form
    7,766,540.40/11,649,810.60 = 6,349,364.40/x
  3. Step 3: Cross multiply
    7,766,540.40x = 11,649,810.60 × 6,349,364.40
  4. Step 4: Simplify right side
    7,766,540.40x = 73,968,892,690,382.64
  5. Step 5: Solve for x
    x = 73,968,892,690,382.64/7,766,540.40
  6. Step 6: Final answer
    x = 9,524,046.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.