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Finding the Fourth Proportional to 9,506.08, 14,254.02 and 5,290.66

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Solution

The fourth proportional to 9,506.08, 14,254.02 and 5,290.66 is: 7,933.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,506.08 : 14,254.02 = 5,290.66 : x
  2. Step 2: Convert to fraction form
    9,506.08/14,254.02 = 5,290.66/x
  3. Step 3: Cross multiply
    9,506.08x = 14,254.02 × 5,290.66
  4. Step 4: Simplify right side
    9,506.08x = 75,413,173.45
  5. Step 5: Solve for x
    x = 75,413,173.45/9,506.08
  6. Step 6: Final answer
    x = 7,933.15

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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.