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Finding the Fourth Proportional to 9,768.74, 14,652.91 and 2,373.24

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Solution

The fourth proportional to 9,768.74, 14,652.91 and 2,373.24 is: 3,559.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,768.74 : 14,652.91 = 2,373.24 : x
  2. Step 2: Convert to fraction form
    9,768.74/14,652.91 = 2,373.24/x
  3. Step 3: Cross multiply
    9,768.74x = 14,652.91 × 2,373.24
  4. Step 4: Simplify right side
    9,768.74x = 34,774,872.13
  5. Step 5: Solve for x
    x = 34,774,872.13/9,768.74
  6. Step 6: Final answer
    x = 3,559.81

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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.