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Finding the Fourth Proportional to 9,563.76, 14,367.24 and 5,670.72

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Solution

The fourth proportional to 9,563.76, 14,367.24 and 5,670.72 is: 8,518.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,563.76 : 14,367.24 = 5,670.72 : x
  2. Step 2: Convert to fraction form
    9,563.76/14,367.24 = 5,670.72/x
  3. Step 3: Cross multiply
    9,563.76x = 14,367.24 × 5,670.72
  4. Step 4: Simplify right side
    9,563.76x = 81,472,595.21
  5. Step 5: Solve for x
    x = 81,472,595.21/9,563.76
  6. Step 6: Final answer
    x = 8,518.89

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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.