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Finding the Fourth Proportional to 9,961.02, 14,936.58 and 7,878.60

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Solution

The fourth proportional to 9,961.02, 14,936.58 and 7,878.60 is: 11,813.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,961.02 : 14,936.58 = 7,878.60 : x
  2. Step 2: Convert to fraction form
    9,961.02/14,936.58 = 7,878.60/x
  3. Step 3: Cross multiply
    9,961.02x = 14,936.58 × 7,878.60
  4. Step 4: Simplify right side
    9,961.02x = 117,679,339.19
  5. Step 5: Solve for x
    x = 117,679,339.19/9,961.02
  6. Step 6: Final answer
    x = 11,813.98

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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.