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Finding the Fourth Proportional to 9,203, 12,699.13 and 5,224.15

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Solution

The fourth proportional to 9,203, 12,699.13 and 5,224.15 is: 7,208.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,203 : 12,699.13 = 5,224.15 : x
  2. Step 2: Convert to fraction form
    9,203/12,699.13 = 5,224.15/x
  3. Step 3: Cross multiply
    9,203x = 12,699.13 × 5,224.15
  4. Step 4: Simplify right side
    9,203x = 66,342,070.37
  5. Step 5: Solve for x
    x = 66,342,070.37/9,203
  6. Step 6: Final answer
    x = 7,208.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.