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Finding the Fourth Proportional to 6,557.88, 9,816.14 and 4,214.74

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Solution

The fourth proportional to 6,557.88, 9,816.14 and 4,214.74 is: 6,308.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,557.88 : 9,816.14 = 4,214.74 : x
  2. Step 2: Convert to fraction form
    6,557.88/9,816.14 = 4,214.74/x
  3. Step 3: Cross multiply
    6,557.88x = 9,816.14 × 4,214.74
  4. Step 4: Simplify right side
    6,557.88x = 41,372,477.90
  5. Step 5: Solve for x
    x = 41,372,477.90/6,557.88
  6. Step 6: Final answer
    x = 6,308.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.