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Finding the Fourth Proportional to 6,953.96, 9,593.26 and 6,158.10

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Solution

The fourth proportional to 6,953.96, 9,593.26 and 6,158.10 is: 8,495.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,953.96 : 9,593.26 = 6,158.10 : x
  2. Step 2: Convert to fraction form
    6,953.96/9,593.26 = 6,158.10/x
  3. Step 3: Cross multiply
    6,953.96x = 9,593.26 × 6,158.10
  4. Step 4: Simplify right side
    6,953.96x = 59,076,239.01
  5. Step 5: Solve for x
    x = 59,076,239.01/6,953.96
  6. Step 6: Final answer
    x = 8,495.33

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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.