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Finding the Fourth Proportional to 9,565.91, 14,335.64 and 5,351.38

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Solution

The fourth proportional to 9,565.91, 14,335.64 and 5,351.38 is: 8,019.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,565.91 : 14,335.64 = 5,351.38 : x
  2. Step 2: Convert to fraction form
    9,565.91/14,335.64 = 5,351.38/x
  3. Step 3: Cross multiply
    9,565.91x = 14,335.64 × 5,351.38
  4. Step 4: Simplify right side
    9,565.91x = 76,715,457.18
  5. Step 5: Solve for x
    x = 76,715,457.18/9,565.91
  6. Step 6: Final answer
    x = 8,019.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.