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Finding the Fourth Proportional to 9,650.56, 13,314.72 and 5,670.40

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Solution

The fourth proportional to 9,650.56, 13,314.72 and 5,670.40 is: 7,823.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,650.56 : 13,314.72 = 5,670.40 : x
  2. Step 2: Convert to fraction form
    9,650.56/13,314.72 = 5,670.40/x
  3. Step 3: Cross multiply
    9,650.56x = 13,314.72 × 5,670.40
  4. Step 4: Simplify right side
    9,650.56x = 75,499,788.29
  5. Step 5: Solve for x
    x = 75,499,788.29/9,650.56
  6. Step 6: Final answer
    x = 7,823.36

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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.