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Finding the Fourth Proportional to 9,525.97, 13,133.64 and 7,397.90

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Solution

The fourth proportional to 9,525.97, 13,133.64 and 7,397.90 is: 10,199.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,525.97 : 13,133.64 = 7,397.90 : x
  2. Step 2: Convert to fraction form
    9,525.97/13,133.64 = 7,397.90/x
  3. Step 3: Cross multiply
    9,525.97x = 13,133.64 × 7,397.90
  4. Step 4: Simplify right side
    9,525.97x = 97,161,355.36
  5. Step 5: Solve for x
    x = 97,161,355.36/9,525.97
  6. Step 6: Final answer
    x = 10,199.63

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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.