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Finding the Fourth Proportional to 9,697.80, 13,389.30 and 7,455.54

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Solution

The fourth proportional to 9,697.80, 13,389.30 and 7,455.54 is: 10,293.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,697.80 : 13,389.30 = 7,455.54 : x
  2. Step 2: Convert to fraction form
    9,697.80/13,389.30 = 7,455.54/x
  3. Step 3: Cross multiply
    9,697.80x = 13,389.30 × 7,455.54
  4. Step 4: Simplify right side
    9,697.80x = 99,824,461.72
  5. Step 5: Solve for x
    x = 99,824,461.72/9,697.80
  6. Step 6: Final answer
    x = 10,293.52

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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.