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Finding the Fourth Proportional to 9,005.40, 13,503.30 and 3,805.40

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Solution

The fourth proportional to 9,005.40, 13,503.30 and 3,805.40 is: 5,706.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,005.40 : 13,503.30 = 3,805.40 : x
  2. Step 2: Convert to fraction form
    9,005.40/13,503.30 = 3,805.40/x
  3. Step 3: Cross multiply
    9,005.40x = 13,503.30 × 3,805.40
  4. Step 4: Simplify right side
    9,005.40x = 51,385,457.82
  5. Step 5: Solve for x
    x = 51,385,457.82/9,005.40
  6. Step 6: Final answer
    x = 5,706.07

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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.