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Finding the Fourth Proportional to 9,772.03, 13,485.35 and 5,295.67

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Solution

The fourth proportional to 9,772.03, 13,485.35 and 5,295.67 is: 7,307.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,772.03 : 13,485.35 = 5,295.67 : x
  2. Step 2: Convert to fraction form
    9,772.03/13,485.35 = 5,295.67/x
  3. Step 3: Cross multiply
    9,772.03x = 13,485.35 × 5,295.67
  4. Step 4: Simplify right side
    9,772.03x = 71,413,896.01
  5. Step 5: Solve for x
    x = 71,413,896.01/9,772.03
  6. Step 6: Final answer
    x = 7,307.99

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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.