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Finding the Fourth Proportional to 9,772.32, 14,658.28 and 2,376.82

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Solution

The fourth proportional to 9,772.32, 14,658.28 and 2,376.82 is: 3,565.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,772.32 : 14,658.28 = 2,376.82 : x
  2. Step 2: Convert to fraction form
    9,772.32/14,658.28 = 2,376.82/x
  3. Step 3: Cross multiply
    9,772.32x = 14,658.28 × 2,376.82
  4. Step 4: Simplify right side
    9,772.32x = 34,840,093.07
  5. Step 5: Solve for x
    x = 34,840,093.07/9,772.32
  6. Step 6: Final answer
    x = 3,565.18

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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.