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Finding the Fourth Proportional to 9,515.52, 14,237.64 and 7,872.84

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Solution

The fourth proportional to 9,515.52, 14,237.64 and 7,872.84 is: 11,779.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,515.52 : 14,237.64 = 7,872.84 : x
  2. Step 2: Convert to fraction form
    9,515.52/14,237.64 = 7,872.84/x
  3. Step 3: Cross multiply
    9,515.52x = 14,237.64 × 7,872.84
  4. Step 4: Simplify right side
    9,515.52x = 112,090,661.70
  5. Step 5: Solve for x
    x = 112,090,661.70/9,515.52
  6. Step 6: Final answer
    x = 11,779.77

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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.