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Finding the Fourth Proportional to 9,993.60, 14,978.40 and 4,435.20

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Solution

The fourth proportional to 9,993.60, 14,978.40 and 4,435.20 is: 6,647.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,993.60 : 14,978.40 = 4,435.20 : x
  2. Step 2: Convert to fraction form
    9,993.60/14,978.40 = 4,435.20/x
  3. Step 3: Cross multiply
    9,993.60x = 14,978.40 × 4,435.20
  4. Step 4: Simplify right side
    9,993.60x = 66,432,199.68
  5. Step 5: Solve for x
    x = 66,432,199.68/9,993.60
  6. Step 6: Final answer
    x = 6,647.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.