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Finding the Fourth Proportional to 9,984.90, 14,976.15 and 4,140.90

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Solution

The fourth proportional to 9,984.90, 14,976.15 and 4,140.90 is: 6,210.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,984.90 : 14,976.15 = 4,140.90 : x
  2. Step 2: Convert to fraction form
    9,984.90/14,976.15 = 4,140.90/x
  3. Step 3: Cross multiply
    9,984.90x = 14,976.15 × 4,140.90
  4. Step 4: Simplify right side
    9,984.90x = 62,014,739.54
  5. Step 5: Solve for x
    x = 62,014,739.54/9,984.90
  6. Step 6: Final answer
    x = 6,210.85

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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.