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Finding the Fourth Proportional to 9,536.34, 13,159.62 and 5,287.26

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Solution

The fourth proportional to 9,536.34, 13,159.62 and 5,287.26 is: 7,296.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,536.34 : 13,159.62 = 5,287.26 : x
  2. Step 2: Convert to fraction form
    9,536.34/13,159.62 = 5,287.26/x
  3. Step 3: Cross multiply
    9,536.34x = 13,159.62 × 5,287.26
  4. Step 4: Simplify right side
    9,536.34x = 69,578,332.44
  5. Step 5: Solve for x
    x = 69,578,332.44/9,536.34
  6. Step 6: Final answer
    x = 7,296.13

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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.