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Finding the Fourth Proportional to 9,514.98, 13,130.40 and 5,266.22

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Solution

The fourth proportional to 9,514.98, 13,130.40 and 5,266.22 is: 7,267.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,514.98 : 13,130.40 = 5,266.22 : x
  2. Step 2: Convert to fraction form
    9,514.98/13,130.40 = 5,266.22/x
  3. Step 3: Cross multiply
    9,514.98x = 13,130.40 × 5,266.22
  4. Step 4: Simplify right side
    9,514.98x = 69,147,509.44
  5. Step 5: Solve for x
    x = 69,147,509.44/9,514.98
  6. Step 6: Final answer
    x = 7,267.23

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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.