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Finding the Fourth Proportional to 6,281.14, 9,408.86 and 5,041.84

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Solution

The fourth proportional to 6,281.14, 9,408.86 and 5,041.84 is: 7,552.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,281.14 : 9,408.86 = 5,041.84 : x
  2. Step 2: Convert to fraction form
    6,281.14/9,408.86 = 5,041.84/x
  3. Step 3: Cross multiply
    6,281.14x = 9,408.86 × 5,041.84
  4. Step 4: Simplify right side
    6,281.14x = 47,437,966.70
  5. Step 5: Solve for x
    x = 47,437,966.70/6,281.14
  6. Step 6: Final answer
    x = 7,552.45

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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.