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Finding the Fourth Proportional to 6,464.94, 9,688.65 and 3,347.13

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Solution

The fourth proportional to 6,464.94, 9,688.65 and 3,347.13 is: 5,016.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,464.94 : 9,688.65 = 3,347.13 : x
  2. Step 2: Convert to fraction form
    6,464.94/9,688.65 = 3,347.13/x
  3. Step 3: Cross multiply
    6,464.94x = 9,688.65 × 3,347.13
  4. Step 4: Simplify right side
    6,464.94x = 32,429,171.07
  5. Step 5: Solve for x
    x = 32,429,171.07/6,464.94
  6. Step 6: Final answer
    x = 5,016.16

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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.