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Finding the Fourth Proportional to 9,819.42, 13,551.12 and 5,342.92

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Solution

The fourth proportional to 9,819.42, 13,551.12 and 5,342.92 is: 7,373.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,819.42 : 13,551.12 = 5,342.92 : x
  2. Step 2: Convert to fraction form
    9,819.42/13,551.12 = 5,342.92/x
  3. Step 3: Cross multiply
    9,819.42x = 13,551.12 × 5,342.92
  4. Step 4: Simplify right side
    9,819.42x = 72,402,550.07
  5. Step 5: Solve for x
    x = 72,402,550.07/9,819.42
  6. Step 6: Final answer
    x = 7,373.40

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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.