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Finding the Fourth Proportional to 9,293.90, 12,823.80 and 5,316.26

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Solution

The fourth proportional to 9,293.90, 12,823.80 and 5,316.26 is: 7,335.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,293.90 : 12,823.80 = 5,316.26 : x
  2. Step 2: Convert to fraction form
    9,293.90/12,823.80 = 5,316.26/x
  3. Step 3: Cross multiply
    9,293.90x = 12,823.80 × 5,316.26
  4. Step 4: Simplify right side
    9,293.90x = 68,174,654.99
  5. Step 5: Solve for x
    x = 68,174,654.99/9,293.90
  6. Step 6: Final answer
    x = 7,335.42

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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.