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Finding the Fourth Proportional to 9,655.41, 13,321.36 and 5,405.84

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Solution

The fourth proportional to 9,655.41, 13,321.36 and 5,405.84 is: 7,458.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,655.41 : 13,321.36 = 5,405.84 : x
  2. Step 2: Convert to fraction form
    9,655.41/13,321.36 = 5,405.84/x
  3. Step 3: Cross multiply
    9,655.41x = 13,321.36 × 5,405.84
  4. Step 4: Simplify right side
    9,655.41x = 72,013,140.74
  5. Step 5: Solve for x
    x = 72,013,140.74/9,655.41
  6. Step 6: Final answer
    x = 7,458.32

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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.