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Finding the Fourth Proportional to 9,206, 13,810.26 and 4,277

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Solution

The fourth proportional to 9,206, 13,810.26 and 4,277 is: 6,416.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,206 : 13,810.26 = 4,277 : x
  2. Step 2: Convert to fraction form
    9,206/13,810.26 = 4,277/x
  3. Step 3: Cross multiply
    9,206x = 13,810.26 × 4,277
  4. Step 4: Simplify right side
    9,206x = 59,066,482.02
  5. Step 5: Solve for x
    x = 59,066,482.02/9,206
  6. Step 6: Final answer
    x = 6,416.09

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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.