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Finding the Fourth Proportional to 6,897.24, 9,518.25 and 3,913.08

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Solution

The fourth proportional to 6,897.24, 9,518.25 and 3,913.08 is: 5,400.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,897.24 : 9,518.25 = 3,913.08 : x
  2. Step 2: Convert to fraction form
    6,897.24/9,518.25 = 3,913.08/x
  3. Step 3: Cross multiply
    6,897.24x = 9,518.25 × 3,913.08
  4. Step 4: Simplify right side
    6,897.24x = 37,245,673.71
  5. Step 5: Solve for x
    x = 37,245,673.71/6,897.24
  6. Step 6: Final answer
    x = 5,400.08

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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.