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Finding the Fourth Proportional to 9,483.75, 14,225.04 and 2,909.43

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Solution

The fourth proportional to 9,483.75, 14,225.04 and 2,909.43 is: 4,363.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,483.75 : 14,225.04 = 2,909.43 : x
  2. Step 2: Convert to fraction form
    9,483.75/14,225.04 = 2,909.43/x
  3. Step 3: Cross multiply
    9,483.75x = 14,225.04 × 2,909.43
  4. Step 4: Simplify right side
    9,483.75x = 41,386,758.13
  5. Step 5: Solve for x
    x = 41,386,758.13/9,483.75
  6. Step 6: Final answer
    x = 4,363.97

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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.