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Finding the Fourth Proportional to 9,242, 13,854.54 and 3,394.16

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Solution

The fourth proportional to 9,242, 13,854.54 and 3,394.16 is: 5,088.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,242 : 13,854.54 = 3,394.16 : x
  2. Step 2: Convert to fraction form
    9,242/13,854.54 = 3,394.16/x
  3. Step 3: Cross multiply
    9,242x = 13,854.54 × 3,394.16
  4. Step 4: Simplify right side
    9,242x = 47,024,525.49
  5. Step 5: Solve for x
    x = 47,024,525.49/9,242
  6. Step 6: Final answer
    x = 5,088.13

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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.