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Finding the Fourth Proportional to 9,657.56, 13,326.60 and 5,623.76

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Solution

The fourth proportional to 9,657.56, 13,326.60 and 5,623.76 is: 7,760.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,657.56 : 13,326.60 = 5,623.76 : x
  2. Step 2: Convert to fraction form
    9,657.56/13,326.60 = 5,623.76/x
  3. Step 3: Cross multiply
    9,657.56x = 13,326.60 × 5,623.76
  4. Step 4: Simplify right side
    9,657.56x = 74,945,600.02
  5. Step 5: Solve for x
    x = 74,945,600.02/9,657.56
  6. Step 6: Final answer
    x = 7,760.30

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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.