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Finding the Fourth Proportional to 9,756.55, 13,466.16 and 6,169.24

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Solution

The fourth proportional to 9,756.55, 13,466.16 and 6,169.24 is: 8,514.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,756.55 : 13,466.16 = 6,169.24 : x
  2. Step 2: Convert to fraction form
    9,756.55/13,466.16 = 6,169.24/x
  3. Step 3: Cross multiply
    9,756.55x = 13,466.16 × 6,169.24
  4. Step 4: Simplify right side
    9,756.55x = 83,075,972.92
  5. Step 5: Solve for x
    x = 83,075,972.92/9,756.55
  6. Step 6: Final answer
    x = 8,514.89

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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.