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Finding the Fourth Proportional to 8,643.17, 12,964.14 and 4,933.77

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Solution

The fourth proportional to 8,643.17, 12,964.14 and 4,933.77 is: 7,400.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,643.17 : 12,964.14 = 4,933.77 : x
  2. Step 2: Convert to fraction form
    8,643.17/12,964.14 = 4,933.77/x
  3. Step 3: Cross multiply
    8,643.17x = 12,964.14 × 4,933.77
  4. Step 4: Simplify right side
    8,643.17x = 63,962,085.01
  5. Step 5: Solve for x
    x = 63,962,085.01/8,643.17
  6. Step 6: Final answer
    x = 7,400.30

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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.