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Finding the Fourth Proportional to 9,485.29, 14,216.85 and 7,137.76

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Solution

The fourth proportional to 9,485.29, 14,216.85 and 7,137.76 is: 10,698.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,485.29 : 14,216.85 = 7,137.76 : x
  2. Step 2: Convert to fraction form
    9,485.29/14,216.85 = 7,137.76/x
  3. Step 3: Cross multiply
    9,485.29x = 14,216.85 × 7,137.76
  4. Step 4: Simplify right side
    9,485.29x = 101,476,463.26
  5. Step 5: Solve for x
    x = 101,476,463.26/9,485.29
  6. Step 6: Final answer
    x = 10,698.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.