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Finding the Fourth Proportional to 9,700.63, 13,388.48 and 5,722.72

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Solution

The fourth proportional to 9,700.63, 13,388.48 and 5,722.72 is: 7,898.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,700.63 : 13,388.48 = 5,722.72 : x
  2. Step 2: Convert to fraction form
    9,700.63/13,388.48 = 5,722.72/x
  3. Step 3: Cross multiply
    9,700.63x = 13,388.48 × 5,722.72
  4. Step 4: Simplify right side
    9,700.63x = 76,618,522.27
  5. Step 5: Solve for x
    x = 76,618,522.27/9,700.63
  6. Step 6: Final answer
    x = 7,898.30

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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.