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Finding the Fourth Proportional to 9,461.52, 14,194.44 and 2,887.84

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Solution

The fourth proportional to 9,461.52, 14,194.44 and 2,887.84 is: 4,332.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,461.52 : 14,194.44 = 2,887.84 : x
  2. Step 2: Convert to fraction form
    9,461.52/14,194.44 = 2,887.84/x
  3. Step 3: Cross multiply
    9,461.52x = 14,194.44 × 2,887.84
  4. Step 4: Simplify right side
    9,461.52x = 40,991,271.61
  5. Step 5: Solve for x
    x = 40,991,271.61/9,461.52
  6. Step 6: Final answer
    x = 4,332.42

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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.