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Finding the Fourth Proportional to 9,772.50, 13,485.98 and 5,296.24

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Solution

The fourth proportional to 9,772.50, 13,485.98 and 5,296.24 is: 7,308.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,772.50 : 13,485.98 = 5,296.24 : x
  2. Step 2: Convert to fraction form
    9,772.50/13,485.98 = 5,296.24/x
  3. Step 3: Cross multiply
    9,772.50x = 13,485.98 × 5,296.24
  4. Step 4: Simplify right side
    9,772.50x = 71,424,911.16
  5. Step 5: Solve for x
    x = 71,424,911.16/9,772.50
  6. Step 6: Final answer
    x = 7,308.77

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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.