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Finding the Fourth Proportional to 9,256.96, 13,875.72 and 6,334.48

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Solution

The fourth proportional to 9,256.96, 13,875.72 and 6,334.48 is: 9,495.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,256.96 : 13,875.72 = 6,334.48 : x
  2. Step 2: Convert to fraction form
    9,256.96/13,875.72 = 6,334.48/x
  3. Step 3: Cross multiply
    9,256.96x = 13,875.72 × 6,334.48
  4. Step 4: Simplify right side
    9,256.96x = 87,895,470.83
  5. Step 5: Solve for x
    x = 87,895,470.83/9,256.96
  6. Step 6: Final answer
    x = 9,495.07

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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.