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Finding the Fourth Proportional to 9,068.06, 12,503.76 and 5,706.75

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Solution

The fourth proportional to 9,068.06, 12,503.76 and 5,706.75 is: 7,868.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,068.06 : 12,503.76 = 5,706.75 : x
  2. Step 2: Convert to fraction form
    9,068.06/12,503.76 = 5,706.75/x
  3. Step 3: Cross multiply
    9,068.06x = 12,503.76 × 5,706.75
  4. Step 4: Simplify right side
    9,068.06x = 71,355,832.38
  5. Step 5: Solve for x
    x = 71,355,832.38/9,068.06
  6. Step 6: Final answer
    x = 7,868.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.