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Finding the Fourth Proportional to 9,392.84, 12,962.13 and 5,201

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Solution

The fourth proportional to 9,392.84, 12,962.13 and 5,201 is: 7,177.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,392.84 : 12,962.13 = 5,201 : x
  2. Step 2: Convert to fraction form
    9,392.84/12,962.13 = 5,201/x
  3. Step 3: Cross multiply
    9,392.84x = 12,962.13 × 5,201
  4. Step 4: Simplify right side
    9,392.84x = 67,416,038.13
  5. Step 5: Solve for x
    x = 67,416,038.13/9,392.84
  6. Step 6: Final answer
    x = 7,177.39

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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.