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Finding the Fourth Proportional to 6,444.32, 9,670.80 and 4,137.44

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Solution

The fourth proportional to 6,444.32, 9,670.80 and 4,137.44 is: 6,208.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,444.32 : 9,670.80 = 4,137.44 : x
  2. Step 2: Convert to fraction form
    6,444.32/9,670.80 = 4,137.44/x
  3. Step 3: Cross multiply
    6,444.32x = 9,670.80 × 4,137.44
  4. Step 4: Simplify right side
    6,444.32x = 40,012,354.75
  5. Step 5: Solve for x
    x = 40,012,354.75/6,444.32
  6. Step 6: Final answer
    x = 6,208.93

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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.