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Finding the Fourth Proportional to 9,498.16, 14,221.68 and 6,203.08

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Solution

The fourth proportional to 9,498.16, 14,221.68 and 6,203.08 is: 9,287.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,498.16 : 14,221.68 = 6,203.08 : x
  2. Step 2: Convert to fraction form
    9,498.16/14,221.68 = 6,203.08/x
  3. Step 3: Cross multiply
    9,498.16x = 14,221.68 × 6,203.08
  4. Step 4: Simplify right side
    9,498.16x = 88,218,218.77
  5. Step 5: Solve for x
    x = 88,218,218.77/9,498.16
  6. Step 6: Final answer
    x = 9,287.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.