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Finding the Fourth Proportional to 9,708.54, 14,552.41 and 5,023.82

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Solution

The fourth proportional to 9,708.54, 14,552.41 and 5,023.82 is: 7,530.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,708.54 : 14,552.41 = 5,023.82 : x
  2. Step 2: Convert to fraction form
    9,708.54/14,552.41 = 5,023.82/x
  3. Step 3: Cross multiply
    9,708.54x = 14,552.41 × 5,023.82
  4. Step 4: Simplify right side
    9,708.54x = 73,108,688.41
  5. Step 5: Solve for x
    x = 73,108,688.41/9,708.54
  6. Step 6: Final answer
    x = 7,530.35

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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.