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Finding the Fourth Proportional to 9,866.40, 14,806.05 and 3,626.45

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Solution

The fourth proportional to 9,866.40, 14,806.05 and 3,626.45 is: 5,442.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,866.40 : 14,806.05 = 3,626.45 : x
  2. Step 2: Convert to fraction form
    9,866.40/14,806.05 = 3,626.45/x
  3. Step 3: Cross multiply
    9,866.40x = 14,806.05 × 3,626.45
  4. Step 4: Simplify right side
    9,866.40x = 53,693,400.02
  5. Step 5: Solve for x
    x = 53,693,400.02/9,866.40
  6. Step 6: Final answer
    x = 5,442.05

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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.