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Finding the Fourth Proportional to 9,737.02, 13,436.31 and 5,758.30

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Solution

The fourth proportional to 9,737.02, 13,436.31 and 5,758.30 is: 7,945.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,737.02 : 13,436.31 = 5,758.30 : x
  2. Step 2: Convert to fraction form
    9,737.02/13,436.31 = 5,758.30/x
  3. Step 3: Cross multiply
    9,737.02x = 13,436.31 × 5,758.30
  4. Step 4: Simplify right side
    9,737.02x = 77,370,303.87
  5. Step 5: Solve for x
    x = 77,370,303.87/9,737.02
  6. Step 6: Final answer
    x = 7,945.99

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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.