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Finding the Fourth Proportional to 9,437.72, 13,029.05 and 5,902.07

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Solution

The fourth proportional to 9,437.72, 13,029.05 and 5,902.07 is: 8,147.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,437.72 : 13,029.05 = 5,902.07 : x
  2. Step 2: Convert to fraction form
    9,437.72/13,029.05 = 5,902.07/x
  3. Step 3: Cross multiply
    9,437.72x = 13,029.05 × 5,902.07
  4. Step 4: Simplify right side
    9,437.72x = 76,898,314.74
  5. Step 5: Solve for x
    x = 76,898,314.74/9,437.72
  6. Step 6: Final answer
    x = 8,147.98

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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.