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Finding the Fourth Proportional to 6,335.13, 9,504.25 and 4,464.67

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Solution

The fourth proportional to 6,335.13, 9,504.25 and 4,464.67 is: 6,698.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,335.13 : 9,504.25 = 4,464.67 : x
  2. Step 2: Convert to fraction form
    6,335.13/9,504.25 = 4,464.67/x
  3. Step 3: Cross multiply
    6,335.13x = 9,504.25 × 4,464.67
  4. Step 4: Simplify right side
    6,335.13x = 42,433,317.52
  5. Step 5: Solve for x
    x = 42,433,317.52/6,335.13
  6. Step 6: Final answer
    x = 6,698.10

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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.