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Finding the Fourth Proportional to 6,444.45, 9,664.65 and 3,975.57

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Solution

The fourth proportional to 6,444.45, 9,664.65 and 3,975.57 is: 5,962.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,444.45 : 9,664.65 = 3,975.57 : x
  2. Step 2: Convert to fraction form
    6,444.45/9,664.65 = 3,975.57/x
  3. Step 3: Cross multiply
    6,444.45x = 9,664.65 × 3,975.57
  4. Step 4: Simplify right side
    6,444.45x = 38,422,492.60
  5. Step 5: Solve for x
    x = 38,422,492.60/6,444.45
  6. Step 6: Final answer
    x = 5,962.11

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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.