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Finding the Fourth Proportional to 9,485.28, 14,223.90 and 2,910

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Solution

The fourth proportional to 9,485.28, 14,223.90 and 2,910 is: 4,363.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,485.28 : 14,223.90 = 2,910 : x
  2. Step 2: Convert to fraction form
    9,485.28/14,223.90 = 2,910/x
  3. Step 3: Cross multiply
    9,485.28x = 14,223.90 × 2,910
  4. Step 4: Simplify right side
    9,485.28x = 41,391,549
  5. Step 5: Solve for x
    x = 41,391,549/9,485.28
  6. Step 6: Final answer
    x = 4,363.77

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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.