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Finding the Fourth Proportional to 9,722.48, 13,437.72 and 8,570.66

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Solution

The fourth proportional to 9,722.48, 13,437.72 and 8,570.66 is: 11,845.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,722.48 : 13,437.72 = 8,570.66 : x
  2. Step 2: Convert to fraction form
    9,722.48/13,437.72 = 8,570.66/x
  3. Step 3: Cross multiply
    9,722.48x = 13,437.72 × 8,570.66
  4. Step 4: Simplify right side
    9,722.48x = 115,170,062.11
  5. Step 5: Solve for x
    x = 115,170,062.11/9,722.48
  6. Step 6: Final answer
    x = 11,845.76

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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.