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Finding the Fourth Proportional to 9,819, 14,732.12 and 4,556.52

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Solution

The fourth proportional to 9,819, 14,732.12 and 4,556.52 is: 6,836.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,819 : 14,732.12 = 4,556.52 : x
  2. Step 2: Convert to fraction form
    9,819/14,732.12 = 4,556.52/x
  3. Step 3: Cross multiply
    9,819x = 14,732.12 × 4,556.52
  4. Step 4: Simplify right side
    9,819x = 67,127,199.42
  5. Step 5: Solve for x
    x = 67,127,199.42/9,819
  6. Step 6: Final answer
    x = 6,836.46

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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.