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Finding the Fourth Proportional to 6,953.01, 9,599.63 and 6,205.70

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Solution

The fourth proportional to 6,953.01, 9,599.63 and 6,205.70 is: 8,567.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,953.01 : 9,599.63 = 6,205.70 : x
  2. Step 2: Convert to fraction form
    6,953.01/9,599.63 = 6,205.70/x
  3. Step 3: Cross multiply
    6,953.01x = 9,599.63 × 6,205.70
  4. Step 4: Simplify right side
    6,953.01x = 59,572,344.86
  5. Step 5: Solve for x
    x = 59,572,344.86/6,953.01
  6. Step 6: Final answer
    x = 8,567.85

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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.