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Finding the Fourth Proportional to 9,636.71, 13,296.43 and 5,657.63

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Solution

The fourth proportional to 9,636.71, 13,296.43 and 5,657.63 is: 7,806.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,636.71 : 13,296.43 = 5,657.63 : x
  2. Step 2: Convert to fraction form
    9,636.71/13,296.43 = 5,657.63/x
  3. Step 3: Cross multiply
    9,636.71x = 13,296.43 × 5,657.63
  4. Step 4: Simplify right side
    9,636.71x = 75,226,281.26
  5. Step 5: Solve for x
    x = 75,226,281.26/9,636.71
  6. Step 6: Final answer
    x = 7,806.22

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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.