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Finding the Fourth Proportional to 9,596.64, 14,374.80 and 5,201.76

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Solution

The fourth proportional to 9,596.64, 14,374.80 and 5,201.76 is: 7,791.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,596.64 : 14,374.80 = 5,201.76 : x
  2. Step 2: Convert to fraction form
    9,596.64/14,374.80 = 5,201.76/x
  3. Step 3: Cross multiply
    9,596.64x = 14,374.80 × 5,201.76
  4. Step 4: Simplify right side
    9,596.64x = 74,774,259.65
  5. Step 5: Solve for x
    x = 74,774,259.65/9,596.64
  6. Step 6: Final answer
    x = 7,791.71

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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.