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Finding the Fourth Proportional to 6,572.22, 9,064.51 and 4,214.58

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Solution

The fourth proportional to 6,572.22, 9,064.51 and 4,214.58 is: 5,812.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,572.22 : 9,064.51 = 4,214.58 : x
  2. Step 2: Convert to fraction form
    6,572.22/9,064.51 = 4,214.58/x
  3. Step 3: Cross multiply
    6,572.22x = 9,064.51 × 4,214.58
  4. Step 4: Simplify right side
    6,572.22x = 38,203,102.56
  5. Step 5: Solve for x
    x = 38,203,102.56/6,572.22
  6. Step 6: Final answer
    x = 5,812.82

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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.