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Finding the Fourth Proportional to 9,564.21, 14,319.71 and 4,874.10

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Solution

The fourth proportional to 9,564.21, 14,319.71 and 4,874.10 is: 7,297.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,564.21 : 14,319.71 = 4,874.10 : x
  2. Step 2: Convert to fraction form
    9,564.21/14,319.71 = 4,874.10/x
  3. Step 3: Cross multiply
    9,564.21x = 14,319.71 × 4,874.10
  4. Step 4: Simplify right side
    9,564.21x = 69,795,674.14
  5. Step 5: Solve for x
    x = 69,795,674.14/9,564.21
  6. Step 6: Final answer
    x = 7,297.59

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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.