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Finding the Fourth Proportional to 6,953.75, 9,565.05 and 6,098.80

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Solution

The fourth proportional to 6,953.75, 9,565.05 and 6,098.80 is: 8,389.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,953.75 : 9,565.05 = 6,098.80 : x
  2. Step 2: Convert to fraction form
    6,953.75/9,565.05 = 6,098.80/x
  3. Step 3: Cross multiply
    6,953.75x = 9,565.05 × 6,098.80
  4. Step 4: Simplify right side
    6,953.75x = 58,335,326.94
  5. Step 5: Solve for x
    x = 58,335,326.94/6,953.75
  6. Step 6: Final answer
    x = 8,389.05

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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.