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Finding the Fourth Proportional to 9,203.04, 13,747.68 and 8,277.12

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Solution

The fourth proportional to 9,203.04, 13,747.68 and 8,277.12 is: 12,364.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,203.04 : 13,747.68 = 8,277.12 : x
  2. Step 2: Convert to fraction form
    9,203.04/13,747.68 = 8,277.12/x
  3. Step 3: Cross multiply
    9,203.04x = 13,747.68 × 8,277.12
  4. Step 4: Simplify right side
    9,203.04x = 113,791,197.08
  5. Step 5: Solve for x
    x = 113,791,197.08/9,203.04
  6. Step 6: Final answer
    x = 12,364.52

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.