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Finding the Fourth Proportional to 9,700.30, 13,392.75 and 7,458.04

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Solution

The fourth proportional to 9,700.30, 13,392.75 and 7,458.04 is: 10,296.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,700.30 : 13,392.75 = 7,458.04 : x
  2. Step 2: Convert to fraction form
    9,700.30/13,392.75 = 7,458.04/x
  3. Step 3: Cross multiply
    9,700.30x = 13,392.75 × 7,458.04
  4. Step 4: Simplify right side
    9,700.30x = 99,883,665.21
  5. Step 5: Solve for x
    x = 99,883,665.21/9,700.30
  6. Step 6: Final answer
    x = 10,296.97

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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.