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Finding the Fourth Proportional to 9,498.03, 13,102.91 and 5,518.39

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Solution

The fourth proportional to 9,498.03, 13,102.91 and 5,518.39 is: 7,612.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,498.03 : 13,102.91 = 5,518.39 : x
  2. Step 2: Convert to fraction form
    9,498.03/13,102.91 = 5,518.39/x
  3. Step 3: Cross multiply
    9,498.03x = 13,102.91 × 5,518.39
  4. Step 4: Simplify right side
    9,498.03x = 72,306,967.51
  5. Step 5: Solve for x
    x = 72,306,967.51/9,498.03
  6. Step 6: Final answer
    x = 7,612.84

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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.