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Finding the Fourth Proportional to 9,758.17, 13,466.35 and 5,282.01

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Solution

The fourth proportional to 9,758.17, 13,466.35 and 5,282.01 is: 7,289.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,758.17 : 13,466.35 = 5,282.01 : x
  2. Step 2: Convert to fraction form
    9,758.17/13,466.35 = 5,282.01/x
  3. Step 3: Cross multiply
    9,758.17x = 13,466.35 × 5,282.01
  4. Step 4: Simplify right side
    9,758.17x = 71,129,401.97
  5. Step 5: Solve for x
    x = 71,129,401.97/9,758.17
  6. Step 6: Final answer
    x = 7,289.21

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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.