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Finding the Fourth Proportional to 9,160.49, 13,730.21 and 3,887.70

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Solution

The fourth proportional to 9,160.49, 13,730.21 and 3,887.70 is: 5,827.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,160.49 : 13,730.21 = 3,887.70 : x
  2. Step 2: Convert to fraction form
    9,160.49/13,730.21 = 3,887.70/x
  3. Step 3: Cross multiply
    9,160.49x = 13,730.21 × 3,887.70
  4. Step 4: Simplify right side
    9,160.49x = 53,378,881.07
  5. Step 5: Solve for x
    x = 53,378,881.07/9,160.49
  6. Step 6: Final answer
    x = 5,827.08

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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.