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Finding the Fourth Proportional to 6,235.16, 9,307.11 and 5,497.07

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Solution

The fourth proportional to 6,235.16, 9,307.11 and 5,497.07 is: 8,205.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,235.16 : 9,307.11 = 5,497.07 : x
  2. Step 2: Convert to fraction form
    6,235.16/9,307.11 = 5,497.07/x
  3. Step 3: Cross multiply
    6,235.16x = 9,307.11 × 5,497.07
  4. Step 4: Simplify right side
    6,235.16x = 51,161,809.25
  5. Step 5: Solve for x
    x = 51,161,809.25/6,235.16
  6. Step 6: Final answer
    x = 8,205.38

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.