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Finding the Fourth Proportional to 8,435.10, 12,642.39 and 5,970.63

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Solution

The fourth proportional to 8,435.10, 12,642.39 and 5,970.63 is: 8,948.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,435.10 : 12,642.39 = 5,970.63 : x
  2. Step 2: Convert to fraction form
    8,435.10/12,642.39 = 5,970.63/x
  3. Step 3: Cross multiply
    8,435.10x = 12,642.39 × 5,970.63
  4. Step 4: Simplify right side
    8,435.10x = 75,483,033.01
  5. Step 5: Solve for x
    x = 75,483,033.01/8,435.10
  6. Step 6: Final answer
    x = 8,948.68

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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.