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Finding the Fourth Proportional to 9,842.66, 13,582.62 and 5,366.42

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Solution

The fourth proportional to 9,842.66, 13,582.62 and 5,366.42 is: 7,405.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,842.66 : 13,582.62 = 5,366.42 : x
  2. Step 2: Convert to fraction form
    9,842.66/13,582.62 = 5,366.42/x
  3. Step 3: Cross multiply
    9,842.66x = 13,582.62 × 5,366.42
  4. Step 4: Simplify right side
    9,842.66x = 72,890,043.62
  5. Step 5: Solve for x
    x = 72,890,043.62/9,842.66
  6. Step 6: Final answer
    x = 7,405.52

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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.