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Finding the Fourth Proportional to 9,291.90, 12,821.04 and 5,314.26

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Solution

The fourth proportional to 9,291.90, 12,821.04 and 5,314.26 is: 7,332.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,291.90 : 12,821.04 = 5,314.26 : x
  2. Step 2: Convert to fraction form
    9,291.90/12,821.04 = 5,314.26/x
  3. Step 3: Cross multiply
    9,291.90x = 12,821.04 × 5,314.26
  4. Step 4: Simplify right side
    9,291.90x = 68,134,340.03
  5. Step 5: Solve for x
    x = 68,134,340.03/9,291.90
  6. Step 6: Final answer
    x = 7,332.66

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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.