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Finding the Fourth Proportional to 9,467, 14,201.58 and 4,851.08

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Solution

The fourth proportional to 9,467, 14,201.58 and 4,851.08 is: 7,277.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,467 : 14,201.58 = 4,851.08 : x
  2. Step 2: Convert to fraction form
    9,467/14,201.58 = 4,851.08/x
  3. Step 3: Cross multiply
    9,467x = 14,201.58 × 4,851.08
  4. Step 4: Simplify right side
    9,467x = 68,893,000.71
  5. Step 5: Solve for x
    x = 68,893,000.71/9,467
  6. Step 6: Final answer
    x = 7,277.17

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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.