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Finding the Fourth Proportional to 9,415.78, 14,126.72 and 7,342.91

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Solution

The fourth proportional to 9,415.78, 14,126.72 and 7,342.91 is: 11,016.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,415.78 : 14,126.72 = 7,342.91 : x
  2. Step 2: Convert to fraction form
    9,415.78/14,126.72 = 7,342.91/x
  3. Step 3: Cross multiply
    9,415.78x = 14,126.72 × 7,342.91
  4. Step 4: Simplify right side
    9,415.78x = 103,731,222.67
  5. Step 5: Solve for x
    x = 103,731,222.67/9,415.78
  6. Step 6: Final answer
    x = 11,016.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.