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Finding the Fourth Proportional to 9,469.86, 13,071.15 and 5,491.86

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Solution

The fourth proportional to 9,469.86, 13,071.15 and 5,491.86 is: 7,580.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,469.86 : 13,071.15 = 5,491.86 : x
  2. Step 2: Convert to fraction form
    9,469.86/13,071.15 = 5,491.86/x
  3. Step 3: Cross multiply
    9,469.86x = 13,071.15 × 5,491.86
  4. Step 4: Simplify right side
    9,469.86x = 71,784,925.84
  5. Step 5: Solve for x
    x = 71,784,925.84/9,469.86
  6. Step 6: Final answer
    x = 7,580.36

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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.