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Finding the Fourth Proportional to 9,113.01, 13,669.52 and 5,214.71

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Solution

The fourth proportional to 9,113.01, 13,669.52 and 5,214.71 is: 7,822.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,113.01 : 13,669.52 = 5,214.71 : x
  2. Step 2: Convert to fraction form
    9,113.01/13,669.52 = 5,214.71/x
  3. Step 3: Cross multiply
    9,113.01x = 13,669.52 × 5,214.71
  4. Step 4: Simplify right side
    9,113.01x = 71,282,488.22
  5. Step 5: Solve for x
    x = 71,282,488.22/9,113.01
  6. Step 6: Final answer
    x = 7,822.06

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.