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Finding the Fourth Proportional to 9,599.25, 14,374.83 and 6,078.63

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Solution

The fourth proportional to 9,599.25, 14,374.83 and 6,078.63 is: 9,102.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,599.25 : 14,374.83 = 6,078.63 : x
  2. Step 2: Convert to fraction form
    9,599.25/14,374.83 = 6,078.63/x
  3. Step 3: Cross multiply
    9,599.25x = 14,374.83 × 6,078.63
  4. Step 4: Simplify right side
    9,599.25x = 87,379,272.88
  5. Step 5: Solve for x
    x = 87,379,272.88/9,599.25
  6. Step 6: Final answer
    x = 9,102.72

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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.