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Finding the Fourth Proportional to 8,643.35, 12,967.36 and 3,097.28

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Solution

The fourth proportional to 8,643.35, 12,967.36 and 3,097.28 is: 4,646.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,643.35 : 12,967.36 = 3,097.28 : x
  2. Step 2: Convert to fraction form
    8,643.35/12,967.36 = 3,097.28/x
  3. Step 3: Cross multiply
    8,643.35x = 12,967.36 × 3,097.28
  4. Step 4: Simplify right side
    8,643.35x = 40,163,569.46
  5. Step 5: Solve for x
    x = 40,163,569.46/8,643.35
  6. Step 6: Final answer
    x = 4,646.76

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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.