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Finding the Fourth Proportional to 9,813.12, 14,715.24 and 5,866.08

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Solution

The fourth proportional to 9,813.12, 14,715.24 and 5,866.08 is: 8,796.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,813.12 : 14,715.24 = 5,866.08 : x
  2. Step 2: Convert to fraction form
    9,813.12/14,715.24 = 5,866.08/x
  3. Step 3: Cross multiply
    9,813.12x = 14,715.24 × 5,866.08
  4. Step 4: Simplify right side
    9,813.12x = 86,320,775.06
  5. Step 5: Solve for x
    x = 86,320,775.06/9,813.12
  6. Step 6: Final answer
    x = 8,796.47

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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.