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Finding the Fourth Proportional to 9,607.28, 13,259.34 and 5,629.98

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Solution

The fourth proportional to 9,607.28, 13,259.34 and 5,629.98 is: 7,770.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,607.28 : 13,259.34 = 5,629.98 : x
  2. Step 2: Convert to fraction form
    9,607.28/13,259.34 = 5,629.98/x
  3. Step 3: Cross multiply
    9,607.28x = 13,259.34 × 5,629.98
  4. Step 4: Simplify right side
    9,607.28x = 74,649,819.01
  5. Step 5: Solve for x
    x = 74,649,819.01/9,607.28
  6. Step 6: Final answer
    x = 7,770.13

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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.