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Finding the Fourth Proportional to 6,535.86, 9,014.93 and 4,297.02

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Solution

The fourth proportional to 6,535.86, 9,014.93 and 4,297.02 is: 5,926.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,535.86 : 9,014.93 = 4,297.02 : x
  2. Step 2: Convert to fraction form
    6,535.86/9,014.93 = 4,297.02/x
  3. Step 3: Cross multiply
    6,535.86x = 9,014.93 × 4,297.02
  4. Step 4: Simplify right side
    6,535.86x = 38,737,389.52
  5. Step 5: Solve for x
    x = 38,737,389.52/6,535.86
  6. Step 6: Final answer
    x = 5,926.90

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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.