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Finding the Fourth Proportional to 9,904.55, 14,828.09 and 7,706.61

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Solution

The fourth proportional to 9,904.55, 14,828.09 and 7,706.61 is: 11,537.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,904.55 : 14,828.09 = 7,706.61 : x
  2. Step 2: Convert to fraction form
    9,904.55/14,828.09 = 7,706.61/x
  3. Step 3: Cross multiply
    9,904.55x = 14,828.09 × 7,706.61
  4. Step 4: Simplify right side
    9,904.55x = 114,274,306.67
  5. Step 5: Solve for x
    x = 114,274,306.67/9,904.55
  6. Step 6: Final answer
    x = 11,537.56

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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.