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Finding the Fourth Proportional to 9,482.90, 14,223.75 and 2,909.07

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Solution

The fourth proportional to 9,482.90, 14,223.75 and 2,909.07 is: 4,363.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,482.90 : 14,223.75 = 2,909.07 : x
  2. Step 2: Convert to fraction form
    9,482.90/14,223.75 = 2,909.07/x
  3. Step 3: Cross multiply
    9,482.90x = 14,223.75 × 2,909.07
  4. Step 4: Simplify right side
    9,482.90x = 41,377,884.41
  5. Step 5: Solve for x
    x = 41,377,884.41/9,482.90
  6. Step 6: Final answer
    x = 4,363.42

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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.