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Finding the Fourth Proportional to 9,381,658.86, 12,946,714.11 and 5,089,306.86

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Solution

The fourth proportional to 9,381,658.86, 12,946,714.11 and 5,089,306.86 is: 7,023,256.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,381,658.86 : 12,946,714.11 = 5,089,306.86 : x
  2. Step 2: Convert to fraction form
    9,381,658.86/12,946,714.11 = 5,089,306.86/x
  3. Step 3: Cross multiply
    9,381,658.86x = 12,946,714.11 × 5,089,306.86
  4. Step 4: Simplify right side
    9,381,658.86x = 65,889,800,934,481.80
  5. Step 5: Solve for x
    x = 65,889,800,934,481.80/9,381,658.86
  6. Step 6: Final answer
    x = 7,023,256.97

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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.