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Finding the Fourth Proportional to 9,202.76, 12,699.70 and 5,011

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Solution

The fourth proportional to 9,202.76, 12,699.70 and 5,011 is: 6,915.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,202.76 : 12,699.70 = 5,011 : x
  2. Step 2: Convert to fraction form
    9,202.76/12,699.70 = 5,011/x
  3. Step 3: Cross multiply
    9,202.76x = 12,699.70 × 5,011
  4. Step 4: Simplify right side
    9,202.76x = 63,638,196.70
  5. Step 5: Solve for x
    x = 63,638,196.70/9,202.76
  6. Step 6: Final answer
    x = 6,915.12

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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.