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Finding the Fourth Proportional to 9,456.12, 13,048.02 and 5,477.62

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Solution

The fourth proportional to 9,456.12, 13,048.02 and 5,477.62 is: 7,558.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,456.12 : 13,048.02 = 5,477.62 : x
  2. Step 2: Convert to fraction form
    9,456.12/13,048.02 = 5,477.62/x
  3. Step 3: Cross multiply
    9,456.12x = 13,048.02 × 5,477.62
  4. Step 4: Simplify right side
    9,456.12x = 71,472,095.31
  5. Step 5: Solve for x
    x = 71,472,095.31/9,456.12
  6. Step 6: Final answer
    x = 7,558.29

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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.