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Finding the Fourth Proportional to 9,911.95, 13,678.47 and 5,720.20

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Solution

The fourth proportional to 9,911.95, 13,678.47 and 5,720.20 is: 7,893.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,911.95 : 13,678.47 = 5,720.20 : x
  2. Step 2: Convert to fraction form
    9,911.95/13,678.47 = 5,720.20/x
  3. Step 3: Cross multiply
    9,911.95x = 13,678.47 × 5,720.20
  4. Step 4: Simplify right side
    9,911.95x = 78,243,515.70
  5. Step 5: Solve for x
    x = 78,243,515.70/9,911.95
  6. Step 6: Final answer
    x = 7,893.86

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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.