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Finding the Fourth Proportional to 9,313.34, 12,854.23 and 5,337.11

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Solution

The fourth proportional to 9,313.34, 12,854.23 and 5,337.11 is: 7,366.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,313.34 : 12,854.23 = 5,337.11 : x
  2. Step 2: Convert to fraction form
    9,313.34/12,854.23 = 5,337.11/x
  3. Step 3: Cross multiply
    9,313.34x = 12,854.23 × 5,337.11
  4. Step 4: Simplify right side
    9,313.34x = 68,604,458.27
  5. Step 5: Solve for x
    x = 68,604,458.27/9,313.34
  6. Step 6: Final answer
    x = 7,366.26

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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.