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Finding the Fourth Proportional to 9,313.59, 12,851.67 and 5,334.46

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Solution

The fourth proportional to 9,313.59, 12,851.67 and 5,334.46 is: 7,360.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,313.59 : 12,851.67 = 5,334.46 : x
  2. Step 2: Convert to fraction form
    9,313.59/12,851.67 = 5,334.46/x
  3. Step 3: Cross multiply
    9,313.59x = 12,851.67 × 5,334.46
  4. Step 4: Simplify right side
    9,313.59x = 68,556,719.55
  5. Step 5: Solve for x
    x = 68,556,719.55/9,313.59
  6. Step 6: Final answer
    x = 7,360.93

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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.