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Finding the Fourth Proportional to 6,588.95, 9,095.72 and 4,202.13

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Solution

The fourth proportional to 6,588.95, 9,095.72 and 4,202.13 is: 5,800.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,588.95 : 9,095.72 = 4,202.13 : x
  2. Step 2: Convert to fraction form
    6,588.95/9,095.72 = 4,202.13/x
  3. Step 3: Cross multiply
    6,588.95x = 9,095.72 × 4,202.13
  4. Step 4: Simplify right side
    6,588.95x = 38,221,408.39
  5. Step 5: Solve for x
    x = 38,221,408.39/6,588.95
  6. Step 6: Final answer
    x = 5,800.83

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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.