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Finding the Fourth Proportional to 9,762.32, 13,478.28 and 8,712.56

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Solution

The fourth proportional to 9,762.32, 13,478.28 and 8,712.56 is: 12,028.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,762.32 : 13,478.28 = 8,712.56 : x
  2. Step 2: Convert to fraction form
    9,762.32/13,478.28 = 8,712.56/x
  3. Step 3: Cross multiply
    9,762.32x = 13,478.28 × 8,712.56
  4. Step 4: Simplify right side
    9,762.32x = 117,430,323.20
  5. Step 5: Solve for x
    x = 117,430,323.20/9,762.32
  6. Step 6: Final answer
    x = 12,028.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.