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Finding the Fourth Proportional to 6,572.37, 9,069.85 and 4,214.50

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Solution

The fourth proportional to 6,572.37, 9,069.85 and 4,214.50 is: 5,816.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,572.37 : 9,069.85 = 4,214.50 : x
  2. Step 2: Convert to fraction form
    6,572.37/9,069.85 = 4,214.50/x
  3. Step 3: Cross multiply
    6,572.37x = 9,069.85 × 4,214.50
  4. Step 4: Simplify right side
    6,572.37x = 38,224,882.83
  5. Step 5: Solve for x
    x = 38,224,882.83/6,572.37
  6. Step 6: Final answer
    x = 5,816.00

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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.