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Finding the Fourth Proportional to 9,311.54, 12,852.65 and 5,537.36

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Solution

The fourth proportional to 9,311.54, 12,852.65 and 5,537.36 is: 7,643.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,311.54 : 12,852.65 = 5,537.36 : x
  2. Step 2: Convert to fraction form
    9,311.54/12,852.65 = 5,537.36/x
  3. Step 3: Cross multiply
    9,311.54x = 12,852.65 × 5,537.36
  4. Step 4: Simplify right side
    9,311.54x = 71,169,795.98
  5. Step 5: Solve for x
    x = 71,169,795.98/9,311.54
  6. Step 6: Final answer
    x = 7,643.18

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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.