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Finding the Fourth Proportional to 9,497.46, 13,109.04 and 5,464.74

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Solution

The fourth proportional to 9,497.46, 13,109.04 and 5,464.74 is: 7,542.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,497.46 : 13,109.04 = 5,464.74 : x
  2. Step 2: Convert to fraction form
    9,497.46/13,109.04 = 5,464.74/x
  3. Step 3: Cross multiply
    9,497.46x = 13,109.04 × 5,464.74
  4. Step 4: Simplify right side
    9,497.46x = 71,637,544.41
  5. Step 5: Solve for x
    x = 71,637,544.41/9,497.46
  6. Step 6: Final answer
    x = 7,542.81

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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.