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Finding the Fourth Proportional to 9,655.74, 13,324.26 and 5,406.08

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Solution

The fourth proportional to 9,655.74, 13,324.26 and 5,406.08 is: 7,460.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,655.74 : 13,324.26 = 5,406.08 : x
  2. Step 2: Convert to fraction form
    9,655.74/13,324.26 = 5,406.08/x
  3. Step 3: Cross multiply
    9,655.74x = 13,324.26 × 5,406.08
  4. Step 4: Simplify right side
    9,655.74x = 72,031,969.15
  5. Step 5: Solve for x
    x = 72,031,969.15/9,655.74
  6. Step 6: Final answer
    x = 7,460.02

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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.