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Finding the Fourth Proportional to 9,137.68, 13,706.50 and 7,476.93

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Solution

The fourth proportional to 9,137.68, 13,706.50 and 7,476.93 is: 11,215.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,137.68 : 13,706.50 = 7,476.93 : x
  2. Step 2: Convert to fraction form
    9,137.68/13,706.50 = 7,476.93/x
  3. Step 3: Cross multiply
    9,137.68x = 13,706.50 × 7,476.93
  4. Step 4: Simplify right side
    9,137.68x = 102,482,541.05
  5. Step 5: Solve for x
    x = 102,482,541.05/9,137.68
  6. Step 6: Final answer
    x = 11,215.38

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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.