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Finding the Fourth Proportional to 7,097.23, 9,794.00 and 3,953.35

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Solution

The fourth proportional to 7,097.23, 9,794.00 and 3,953.35 is: 5,455.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,097.23 : 9,794.00 = 3,953.35 : x
  2. Step 2: Convert to fraction form
    7,097.23/9,794.00 = 3,953.35/x
  3. Step 3: Cross multiply
    7,097.23x = 9,794.00 × 3,953.35
  4. Step 4: Simplify right side
    7,097.23x = 38,719,041.16
  5. Step 5: Solve for x
    x = 38,719,041.16/7,097.23
  6. Step 6: Final answer
    x = 5,455.52

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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.