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Finding the Fourth Proportional to 9,765.01, 14,647.36 and 2,369.53

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Solution

The fourth proportional to 9,765.01, 14,647.36 and 2,369.53 is: 3,554.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,765.01 : 14,647.36 = 2,369.53 : x
  2. Step 2: Convert to fraction form
    9,765.01/14,647.36 = 2,369.53/x
  3. Step 3: Cross multiply
    9,765.01x = 14,647.36 × 2,369.53
  4. Step 4: Simplify right side
    9,765.01x = 34,707,358.94
  5. Step 5: Solve for x
    x = 34,707,358.94/9,765.01
  6. Step 6: Final answer
    x = 3,554.26

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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.