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Finding the Fourth Proportional to 9,383.01, 14,078.16 and 9,242.23

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Solution

The fourth proportional to 9,383.01, 14,078.16 and 9,242.23 is: 13,866.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,383.01 : 14,078.16 = 9,242.23 : x
  2. Step 2: Convert to fraction form
    9,383.01/14,078.16 = 9,242.23/x
  3. Step 3: Cross multiply
    9,383.01x = 14,078.16 × 9,242.23
  4. Step 4: Simplify right side
    9,383.01x = 130,113,592.70
  5. Step 5: Solve for x
    x = 130,113,592.70/9,383.01
  6. Step 6: Final answer
    x = 13,866.94

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1.5x scale

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.