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Finding the Fourth Proportional to 6,546.52, 9,808.32 and 4,459.75

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Solution

The fourth proportional to 6,546.52, 9,808.32 and 4,459.75 is: 6,681.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,546.52 : 9,808.32 = 4,459.75 : x
  2. Step 2: Convert to fraction form
    6,546.52/9,808.32 = 4,459.75/x
  3. Step 3: Cross multiply
    6,546.52x = 9,808.32 × 4,459.75
  4. Step 4: Simplify right side
    6,546.52x = 43,742,655.12
  5. Step 5: Solve for x
    x = 43,742,655.12/6,546.52
  6. Step 6: Final answer
    x = 6,681.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.