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Finding the Fourth Proportional to 8,949.14, 12,349.82 and 4,970.63

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Solution

The fourth proportional to 8,949.14, 12,349.82 and 4,970.63 is: 6,859.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,949.14 : 12,349.82 = 4,970.63 : x
  2. Step 2: Convert to fraction form
    8,949.14/12,349.82 = 4,970.63/x
  3. Step 3: Cross multiply
    8,949.14x = 12,349.82 × 4,970.63
  4. Step 4: Simplify right side
    8,949.14x = 61,386,299.18
  5. Step 5: Solve for x
    x = 61,386,299.18/8,949.14
  6. Step 6: Final answer
    x = 6,859.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.