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Finding the Fourth Proportional to 9,554.16, 14,333.64 and 3,709.20

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Solution

The fourth proportional to 9,554.16, 14,333.64 and 3,709.20 is: 5,564.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,554.16 : 14,333.64 = 3,709.20 : x
  2. Step 2: Convert to fraction form
    9,554.16/14,333.64 = 3,709.20/x
  3. Step 3: Cross multiply
    9,554.16x = 14,333.64 × 3,709.20
  4. Step 4: Simplify right side
    9,554.16x = 53,166,337.49
  5. Step 5: Solve for x
    x = 53,166,337.49/9,554.16
  6. Step 6: Final answer
    x = 5,564.73

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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.