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Finding the Fourth Proportional to 7,098.86, 9,797.62 and 5,417.08

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Solution

The fourth proportional to 7,098.86, 9,797.62 and 5,417.08 is: 7,476.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,098.86 : 9,797.62 = 5,417.08 : x
  2. Step 2: Convert to fraction form
    7,098.86/9,797.62 = 5,417.08/x
  3. Step 3: Cross multiply
    7,098.86x = 9,797.62 × 5,417.08
  4. Step 4: Simplify right side
    7,098.86x = 53,074,491.35
  5. Step 5: Solve for x
    x = 53,074,491.35/7,098.86
  6. Step 6: Final answer
    x = 7,476.48

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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.