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Finding the Fourth Proportional to 9,647.06, 13,313.02 and 5,614.89

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Solution

The fourth proportional to 9,647.06, 13,313.02 and 5,614.89 is: 7,748.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,647.06 : 13,313.02 = 5,614.89 : x
  2. Step 2: Convert to fraction form
    9,647.06/13,313.02 = 5,614.89/x
  3. Step 3: Cross multiply
    9,647.06x = 13,313.02 × 5,614.89
  4. Step 4: Simplify right side
    9,647.06x = 74,751,209.66
  5. Step 5: Solve for x
    x = 74,751,209.66/9,647.06
  6. Step 6: Final answer
    x = 7,748.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.