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Finding the Fourth Proportional to 9,540.70, 13,166.06 and 5,291.98

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Solution

The fourth proportional to 9,540.70, 13,166.06 and 5,291.98 is: 7,302.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,540.70 : 13,166.06 = 5,291.98 : x
  2. Step 2: Convert to fraction form
    9,540.70/13,166.06 = 5,291.98/x
  3. Step 3: Cross multiply
    9,540.70x = 13,166.06 × 5,291.98
  4. Step 4: Simplify right side
    9,540.70x = 69,674,526.20
  5. Step 5: Solve for x
    x = 69,674,526.20/9,540.70
  6. Step 6: Final answer
    x = 7,302.87

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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.