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Finding the Fourth Proportional to 9,467.81, 13,065.59 and 5,491.23

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Solution

The fourth proportional to 9,467.81, 13,065.59 and 5,491.23 is: 7,577.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,467.81 : 13,065.59 = 5,491.23 : x
  2. Step 2: Convert to fraction form
    9,467.81/13,065.59 = 5,491.23/x
  3. Step 3: Cross multiply
    9,467.81x = 13,065.59 × 5,491.23
  4. Step 4: Simplify right side
    9,467.81x = 71,746,132.32
  5. Step 5: Solve for x
    x = 71,746,132.32/9,467.81
  6. Step 6: Final answer
    x = 7,577.90

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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.