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Finding the Fourth Proportional to 9,507.80, 13,093.74 and 9,304.28

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Solution

The fourth proportional to 9,507.80, 13,093.74 and 9,304.28 is: 12,813.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,507.80 : 13,093.74 = 9,304.28 : x
  2. Step 2: Convert to fraction form
    9,507.80/13,093.74 = 9,304.28/x
  3. Step 3: Cross multiply
    9,507.80x = 13,093.74 × 9,304.28
  4. Step 4: Simplify right side
    9,507.80x = 121,827,823.21
  5. Step 5: Solve for x
    x = 121,827,823.21/9,507.80
  6. Step 6: Final answer
    x = 12,813.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.