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Finding the Fourth Proportional to 9,772.36, 14,658.54 and 2,376.77

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Solution

The fourth proportional to 9,772.36, 14,658.54 and 2,376.77 is: 3,565.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,772.36 : 14,658.54 = 2,376.77 : x
  2. Step 2: Convert to fraction form
    9,772.36/14,658.54 = 2,376.77/x
  3. Step 3: Cross multiply
    9,772.36x = 14,658.54 × 2,376.77
  4. Step 4: Simplify right side
    9,772.36x = 34,839,978.12
  5. Step 5: Solve for x
    x = 34,839,978.12/9,772.36
  6. Step 6: Final answer
    x = 3,565.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.