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Finding the Fourth Proportional to 9,569.74, 14,354.61 and 5,214.88

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Solution

The fourth proportional to 9,569.74, 14,354.61 and 5,214.88 is: 7,822.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,569.74 : 14,354.61 = 5,214.88 : x
  2. Step 2: Convert to fraction form
    9,569.74/14,354.61 = 5,214.88/x
  3. Step 3: Cross multiply
    9,569.74x = 14,354.61 × 5,214.88
  4. Step 4: Simplify right side
    9,569.74x = 74,857,496.82
  5. Step 5: Solve for x
    x = 74,857,496.82/9,569.74
  6. Step 6: Final answer
    x = 7,822.31

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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.