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Finding the Fourth Proportional to 9,045.80, 12,483.44 and 5,066.82

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Solution

The fourth proportional to 9,045.80, 12,483.44 and 5,066.82 is: 6,992.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,045.80 : 12,483.44 = 5,066.82 : x
  2. Step 2: Convert to fraction form
    9,045.80/12,483.44 = 5,066.82/x
  3. Step 3: Cross multiply
    9,045.80x = 12,483.44 × 5,066.82
  4. Step 4: Simplify right side
    9,045.80x = 63,251,343.46
  5. Step 5: Solve for x
    x = 63,251,343.46/9,045.80
  6. Step 6: Final answer
    x = 6,992.34

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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.