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Finding the Fourth Proportional to 6,444.16, 9,666.24 and 3,368.32

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Solution

The fourth proportional to 6,444.16, 9,666.24 and 3,368.32 is: 5,052.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,444.16 : 9,666.24 = 3,368.32 : x
  2. Step 2: Convert to fraction form
    6,444.16/9,666.24 = 3,368.32/x
  3. Step 3: Cross multiply
    6,444.16x = 9,666.24 × 3,368.32
  4. Step 4: Simplify right side
    6,444.16x = 32,558,989.52
  5. Step 5: Solve for x
    x = 32,558,989.52/6,444.16
  6. Step 6: Final answer
    x = 5,052.48

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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.