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Finding the Fourth Proportional to 6,466.95, 9,701.55 and 3,346.11

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Solution

The fourth proportional to 6,466.95, 9,701.55 and 3,346.11 is: 5,019.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,466.95 : 9,701.55 = 3,346.11 : x
  2. Step 2: Convert to fraction form
    6,466.95/9,701.55 = 3,346.11/x
  3. Step 3: Cross multiply
    6,466.95x = 9,701.55 × 3,346.11
  4. Step 4: Simplify right side
    6,466.95x = 32,462,453.47
  5. Step 5: Solve for x
    x = 32,462,453.47/6,466.95
  6. Step 6: Final answer
    x = 5,019.75

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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.