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Finding the Fourth Proportional to 9,564.81, 13,199.84 and 5,315.87

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Solution

The fourth proportional to 9,564.81, 13,199.84 and 5,315.87 is: 7,336.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,564.81 : 13,199.84 = 5,315.87 : x
  2. Step 2: Convert to fraction form
    9,564.81/13,199.84 = 5,315.87/x
  3. Step 3: Cross multiply
    9,564.81x = 13,199.84 × 5,315.87
  4. Step 4: Simplify right side
    9,564.81x = 70,168,540.88
  5. Step 5: Solve for x
    x = 70,168,540.88/9,564.81
  6. Step 6: Final answer
    x = 7,336.11

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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.