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Finding the Fourth Proportional to 6,432.36, 9,646.08 and 3,509.10

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Solution

The fourth proportional to 6,432.36, 9,646.08 and 3,509.10 is: 5,262.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,432.36 : 9,646.08 = 3,509.10 : x
  2. Step 2: Convert to fraction form
    6,432.36/9,646.08 = 3,509.10/x
  3. Step 3: Cross multiply
    6,432.36x = 9,646.08 × 3,509.10
  4. Step 4: Simplify right side
    6,432.36x = 33,849,059.33
  5. Step 5: Solve for x
    x = 33,849,059.33/6,432.36
  6. Step 6: Final answer
    x = 5,262.31

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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.