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Finding the Fourth Proportional to 9,477.40, 14,224.56 and 9,442.12

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Solution

The fourth proportional to 9,477.40, 14,224.56 and 9,442.12 is: 14,171.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,477.40 : 14,224.56 = 9,442.12 : x
  2. Step 2: Convert to fraction form
    9,477.40/14,224.56 = 9,442.12/x
  3. Step 3: Cross multiply
    9,477.40x = 14,224.56 × 9,442.12
  4. Step 4: Simplify right side
    9,477.40x = 134,310,002.47
  5. Step 5: Solve for x
    x = 134,310,002.47/9,477.40
  6. Step 6: Final answer
    x = 14,171.61

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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.