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Finding the Fourth Proportional to 9,386.78, 14,076.02 and 2,811.74

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Solution

The fourth proportional to 9,386.78, 14,076.02 and 2,811.74 is: 4,216.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,386.78 : 14,076.02 = 2,811.74 : x
  2. Step 2: Convert to fraction form
    9,386.78/14,076.02 = 2,811.74/x
  3. Step 3: Cross multiply
    9,386.78x = 14,076.02 × 2,811.74
  4. Step 4: Simplify right side
    9,386.78x = 39,578,108.47
  5. Step 5: Solve for x
    x = 39,578,108.47/9,386.78
  6. Step 6: Final answer
    x = 4,216.37

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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.