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Finding the Fourth Proportional to 9,522.77, 14,284.16 and 4,325

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Solution

The fourth proportional to 9,522.77, 14,284.16 and 4,325 is: 6,487.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,522.77 : 14,284.16 = 4,325 : x
  2. Step 2: Convert to fraction form
    9,522.77/14,284.16 = 4,325/x
  3. Step 3: Cross multiply
    9,522.77x = 14,284.16 × 4,325
  4. Step 4: Simplify right side
    9,522.77x = 61,778,970.38
  5. Step 5: Solve for x
    x = 61,778,970.38/9,522.77
  6. Step 6: Final answer
    x = 6,487.50

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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.