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Finding the Fourth Proportional to 9,130.25, 12,599.96 and 5,945.13

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Solution

The fourth proportional to 9,130.25, 12,599.96 and 5,945.13 is: 8,204.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,130.25 : 12,599.96 = 5,945.13 : x
  2. Step 2: Convert to fraction form
    9,130.25/12,599.96 = 5,945.13/x
  3. Step 3: Cross multiply
    9,130.25x = 12,599.96 × 5,945.13
  4. Step 4: Simplify right side
    9,130.25x = 74,908,370.47
  5. Step 5: Solve for x
    x = 74,908,370.47/9,130.25
  6. Step 6: Final answer
    x = 8,204.41

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Similar ratio
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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.