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Finding the Fourth Proportional to 6,444, 9,667.44 and 2,340

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Solution

The fourth proportional to 6,444, 9,667.44 and 2,340 is: 3,510.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,444 : 9,667.44 = 2,340 : x
  2. Step 2: Convert to fraction form
    6,444/9,667.44 = 2,340/x
  3. Step 3: Cross multiply
    6,444x = 9,667.44 × 2,340
  4. Step 4: Simplify right side
    6,444x = 22,621,809.60
  5. Step 5: Solve for x
    x = 22,621,809.60/6,444
  6. Step 6: Final answer
    x = 3,510.52

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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.