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Finding the Fourth Proportional to 9,427.42, 13,009.80 and 5,235.68

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Solution

The fourth proportional to 9,427.42, 13,009.80 and 5,235.68 is: 7,225.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,427.42 : 13,009.80 = 5,235.68 : x
  2. Step 2: Convert to fraction form
    9,427.42/13,009.80 = 5,235.68/x
  3. Step 3: Cross multiply
    9,427.42x = 13,009.80 × 5,235.68
  4. Step 4: Simplify right side
    9,427.42x = 68,115,149.66
  5. Step 5: Solve for x
    x = 68,115,149.66/9,427.42
  6. Step 6: Final answer
    x = 7,225.22

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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.