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Finding the Fourth Proportional to 9,564.66, 13,199.52 and 5,315.94

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Solution

The fourth proportional to 9,564.66, 13,199.52 and 5,315.94 is: 7,336.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,564.66 : 13,199.52 = 5,315.94 : x
  2. Step 2: Convert to fraction form
    9,564.66/13,199.52 = 5,315.94/x
  3. Step 3: Cross multiply
    9,564.66x = 13,199.52 × 5,315.94
  4. Step 4: Simplify right side
    9,564.66x = 70,167,856.35
  5. Step 5: Solve for x
    x = 70,167,856.35/9,564.66
  6. Step 6: Final answer
    x = 7,336.16

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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.