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Finding the Fourth Proportional to 6,356.47, 9,539.03 and 3,435.07

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Solution

The fourth proportional to 6,356.47, 9,539.03 and 3,435.07 is: 5,154.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,356.47 : 9,539.03 = 3,435.07 : x
  2. Step 2: Convert to fraction form
    6,356.47/9,539.03 = 3,435.07/x
  3. Step 3: Cross multiply
    6,356.47x = 9,539.03 × 3,435.07
  4. Step 4: Simplify right side
    6,356.47x = 32,767,235.78
  5. Step 5: Solve for x
    x = 32,767,235.78/6,356.47
  6. Step 6: Final answer
    x = 5,154.94

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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.