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Finding the Fourth Proportional to 9,655.28, 13,323.11 and 5,406.56

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Solution

The fourth proportional to 9,655.28, 13,323.11 and 5,406.56 is: 7,460.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,655.28 : 13,323.11 = 5,406.56 : x
  2. Step 2: Convert to fraction form
    9,655.28/13,323.11 = 5,406.56/x
  3. Step 3: Cross multiply
    9,655.28x = 13,323.11 × 5,406.56
  4. Step 4: Simplify right side
    9,655.28x = 72,032,193.60
  5. Step 5: Solve for x
    x = 72,032,193.60/9,655.28
  6. Step 6: Final answer
    x = 7,460.39

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Why These Related Problems?

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