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Finding the Fourth Proportional to 6,409.32, 9,607.32 and 2,459.64

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Solution

The fourth proportional to 6,409.32, 9,607.32 and 2,459.64 is: 3,686.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,409.32 : 9,607.32 = 2,459.64 : x
  2. Step 2: Convert to fraction form
    6,409.32/9,607.32 = 2,459.64/x
  3. Step 3: Cross multiply
    6,409.32x = 9,607.32 × 2,459.64
  4. Step 4: Simplify right side
    6,409.32x = 23,630,548.56
  5. Step 5: Solve for x
    x = 23,630,548.56/6,409.32
  6. Step 6: Final answer
    x = 3,686.90

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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.