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Finding the Fourth Proportional to 9,536.84, 13,160.31 and 5,287.76

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Solution

The fourth proportional to 9,536.84, 13,160.31 and 5,287.76 is: 7,296.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,536.84 : 13,160.31 = 5,287.76 : x
  2. Step 2: Convert to fraction form
    9,536.84/13,160.31 = 5,287.76/x
  3. Step 3: Cross multiply
    9,536.84x = 13,160.31 × 5,287.76
  4. Step 4: Simplify right side
    9,536.84x = 69,588,560.81
  5. Step 5: Solve for x
    x = 69,588,560.81/9,536.84
  6. Step 6: Final answer
    x = 7,296.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.