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Finding the Fourth Proportional to 9,765.44, 14,647.55 and 4,214.88

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Solution

The fourth proportional to 9,765.44, 14,647.55 and 4,214.88 is: 6,322.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,765.44 : 14,647.55 = 4,214.88 : x
  2. Step 2: Convert to fraction form
    9,765.44/14,647.55 = 4,214.88/x
  3. Step 3: Cross multiply
    9,765.44x = 14,647.55 × 4,214.88
  4. Step 4: Simplify right side
    9,765.44x = 61,737,644.47
  5. Step 5: Solve for x
    x = 61,737,644.47/9,765.44
  6. Step 6: Final answer
    x = 6,322.06

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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.