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Finding the Fourth Proportional to 9,674.90, 14,512.35 and 4,490.90

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Solution

The fourth proportional to 9,674.90, 14,512.35 and 4,490.90 is: 6,736.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,674.90 : 14,512.35 = 4,490.90 : x
  2. Step 2: Convert to fraction form
    9,674.90/14,512.35 = 4,490.90/x
  3. Step 3: Cross multiply
    9,674.90x = 14,512.35 × 4,490.90
  4. Step 4: Simplify right side
    9,674.90x = 65,173,512.62
  5. Step 5: Solve for x
    x = 65,173,512.62/9,674.90
  6. Step 6: Final answer
    x = 6,736.35

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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.