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Finding the Fourth Proportional to 9,951.34, 14,929.74 and 7,878.25

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Solution

The fourth proportional to 9,951.34, 14,929.74 and 7,878.25 is: 11,819.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,951.34 : 14,929.74 = 7,878.25 : x
  2. Step 2: Convert to fraction form
    9,951.34/14,929.74 = 7,878.25/x
  3. Step 3: Cross multiply
    9,951.34x = 14,929.74 × 7,878.25
  4. Step 4: Simplify right side
    9,951.34x = 117,620,186.83
  5. Step 5: Solve for x
    x = 117,620,186.83/9,951.34
  6. Step 6: Final answer
    x = 11,819.54

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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.