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Finding the Fourth Proportional to 9,974, 14,961 and 4,130.78

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Solution

The fourth proportional to 9,974, 14,961 and 4,130.78 is: 6,196.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,974 : 14,961 = 4,130.78 : x
  2. Step 2: Convert to fraction form
    9,974/14,961 = 4,130.78/x
  3. Step 3: Cross multiply
    9,974x = 14,961 × 4,130.78
  4. Step 4: Simplify right side
    9,974x = 61,800,599.58
  5. Step 5: Solve for x
    x = 61,800,599.58/9,974
  6. Step 6: Final answer
    x = 6,196.17

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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.