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Finding the Fourth Proportional to 7,093.09, 9,792.65 and 6,304.86

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Solution

The fourth proportional to 7,093.09, 9,792.65 and 6,304.86 is: 8,704.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,093.09 : 9,792.65 = 6,304.86 : x
  2. Step 2: Convert to fraction form
    7,093.09/9,792.65 = 6,304.86/x
  3. Step 3: Cross multiply
    7,093.09x = 9,792.65 × 6,304.86
  4. Step 4: Simplify right side
    7,093.09x = 61,741,303.04
  5. Step 5: Solve for x
    x = 61,741,303.04/7,093.09
  6. Step 6: Final answer
    x = 8,704.43

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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.