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Finding the Fourth Proportional to 9,523.77, 14,285.65 and 4,592.49

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Solution

The fourth proportional to 9,523.77, 14,285.65 and 4,592.49 is: 6,888.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,523.77 : 14,285.65 = 4,592.49 : x
  2. Step 2: Convert to fraction form
    9,523.77/14,285.65 = 4,592.49/x
  3. Step 3: Cross multiply
    9,523.77x = 14,285.65 × 4,592.49
  4. Step 4: Simplify right side
    9,523.77x = 65,606,633.34
  5. Step 5: Solve for x
    x = 65,606,633.34/9,523.77
  6. Step 6: Final answer
    x = 6,888.73

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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.