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Finding the Fourth Proportional to 9,882.81, 13,636.76 and 5,690.25

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Solution

The fourth proportional to 9,882.81, 13,636.76 and 5,690.25 is: 7,851.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,882.81 : 13,636.76 = 5,690.25 : x
  2. Step 2: Convert to fraction form
    9,882.81/13,636.76 = 5,690.25/x
  3. Step 3: Cross multiply
    9,882.81x = 13,636.76 × 5,690.25
  4. Step 4: Simplify right side
    9,882.81x = 77,596,545.14
  5. Step 5: Solve for x
    x = 77,596,545.14/9,882.81
  6. Step 6: Final answer
    x = 7,851.67

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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.