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Finding the Fourth Proportional to 6,500.01, 8,972.37 and 4,262.40

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Solution

The fourth proportional to 6,500.01, 8,972.37 and 4,262.40 is: 5,883.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,500.01 : 8,972.37 = 4,262.40 : x
  2. Step 2: Convert to fraction form
    6,500.01/8,972.37 = 4,262.40/x
  3. Step 3: Cross multiply
    6,500.01x = 8,972.37 × 4,262.40
  4. Step 4: Simplify right side
    6,500.01x = 38,243,829.89
  5. Step 5: Solve for x
    x = 38,243,829.89/6,500.01
  6. Step 6: Final answer
    x = 5,883.66

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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.