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Finding the Fourth Proportional to 9,626.22, 14,430.90 and 4,626.09

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Solution

The fourth proportional to 9,626.22, 14,430.90 and 4,626.09 is: 6,935.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,626.22 : 14,430.90 = 4,626.09 : x
  2. Step 2: Convert to fraction form
    9,626.22/14,430.90 = 4,626.09/x
  3. Step 3: Cross multiply
    9,626.22x = 14,430.90 × 4,626.09
  4. Step 4: Simplify right side
    9,626.22x = 66,758,655.13
  5. Step 5: Solve for x
    x = 66,758,655.13/9,626.22
  6. Step 6: Final answer
    x = 6,935.08

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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.