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Finding the Fourth Proportional to 6,271.64, 9,404.51 and 2,320.17

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Solution

The fourth proportional to 6,271.64, 9,404.51 and 2,320.17 is: 3,479.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,271.64 : 9,404.51 = 2,320.17 : x
  2. Step 2: Convert to fraction form
    6,271.64/9,404.51 = 2,320.17/x
  3. Step 3: Cross multiply
    6,271.64x = 9,404.51 × 2,320.17
  4. Step 4: Simplify right side
    6,271.64x = 21,820,050.37
  5. Step 5: Solve for x
    x = 21,820,050.37/6,271.64
  6. Step 6: Final answer
    x = 3,479.16

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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.