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Finding the Fourth Proportional to 9,834.64, 14,739.62 and 7,746.39

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Solution

The fourth proportional to 9,834.64, 14,739.62 and 7,746.39 is: 11,609.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,834.64 : 14,739.62 = 7,746.39 : x
  2. Step 2: Convert to fraction form
    9,834.64/14,739.62 = 7,746.39/x
  3. Step 3: Cross multiply
    9,834.64x = 14,739.62 × 7,746.39
  4. Step 4: Simplify right side
    9,834.64x = 114,178,806.24
  5. Step 5: Solve for x
    x = 114,178,806.24/9,834.64
  6. Step 6: Final answer
    x = 11,609.86

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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.