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Finding the Fourth Proportional to 6,946.40, 9,590.51 and 6,199.07

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Solution

The fourth proportional to 6,946.40, 9,590.51 and 6,199.07 is: 8,558.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,946.40 : 9,590.51 = 6,199.07 : x
  2. Step 2: Convert to fraction form
    6,946.40/9,590.51 = 6,199.07/x
  3. Step 3: Cross multiply
    6,946.40x = 9,590.51 × 6,199.07
  4. Step 4: Simplify right side
    6,946.40x = 59,452,242.83
  5. Step 5: Solve for x
    x = 59,452,242.83/6,946.40
  6. Step 6: Final answer
    x = 8,558.71

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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.