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Finding the Fourth Proportional to 9,772.13, 14,658.19 and 2,376.54

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Solution

The fourth proportional to 9,772.13, 14,658.19 and 2,376.54 is: 3,564.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,772.13 : 14,658.19 = 2,376.54 : x
  2. Step 2: Convert to fraction form
    9,772.13/14,658.19 = 2,376.54/x
  3. Step 3: Cross multiply
    9,772.13x = 14,658.19 × 2,376.54
  4. Step 4: Simplify right side
    9,772.13x = 34,835,774.86
  5. Step 5: Solve for x
    x = 34,835,774.86/9,772.13
  6. Step 6: Final answer
    x = 3,564.81

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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.