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Finding the Fourth Proportional to 9,596.30, 13,220.21 and 9,153.41

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Solution

The fourth proportional to 9,596.30, 13,220.21 and 9,153.41 is: 12,610.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,596.30 : 13,220.21 = 9,153.41 : x
  2. Step 2: Convert to fraction form
    9,596.30/13,220.21 = 9,153.41/x
  3. Step 3: Cross multiply
    9,596.30x = 13,220.21 × 9,153.41
  4. Step 4: Simplify right side
    9,596.30x = 121,009,956.65
  5. Step 5: Solve for x
    x = 121,009,956.65/9,596.30
  6. Step 6: Final answer
    x = 12,610.06

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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.