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Finding the Fourth Proportional to 9,424.23, 13,007.10 and 7,046.12

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Solution

The fourth proportional to 9,424.23, 13,007.10 and 7,046.12 is: 9,724.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,424.23 : 13,007.10 = 7,046.12 : x
  2. Step 2: Convert to fraction form
    9,424.23/13,007.10 = 7,046.12/x
  3. Step 3: Cross multiply
    9,424.23x = 13,007.10 × 7,046.12
  4. Step 4: Simplify right side
    9,424.23x = 91,649,587.45
  5. Step 5: Solve for x
    x = 91,649,587.45/9,424.23
  6. Step 6: Final answer
    x = 9,724.89

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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.