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Finding the Fourth Proportional to 9,461.76, 14,194.70 and 2,887.77

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Solution

The fourth proportional to 9,461.76, 14,194.70 and 2,887.77 is: 4,332.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,461.76 : 14,194.70 = 2,887.77 : x
  2. Step 2: Convert to fraction form
    9,461.76/14,194.70 = 2,887.77/x
  3. Step 3: Cross multiply
    9,461.76x = 14,194.70 × 2,887.77
  4. Step 4: Simplify right side
    9,461.76x = 40,991,028.82
  5. Step 5: Solve for x
    x = 40,991,028.82/9,461.76
  6. Step 6: Final answer
    x = 4,332.28

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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.