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Finding the Fourth Proportional to 9,981.98, 13,774.65 and 5,730.09

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Solution

The fourth proportional to 9,981.98, 13,774.65 and 5,730.09 is: 7,907.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,981.98 : 13,774.65 = 5,730.09 : x
  2. Step 2: Convert to fraction form
    9,981.98/13,774.65 = 5,730.09/x
  3. Step 3: Cross multiply
    9,981.98x = 13,774.65 × 5,730.09
  4. Step 4: Simplify right side
    9,981.98x = 78,929,984.22
  5. Step 5: Solve for x
    x = 78,929,984.22/9,981.98
  6. Step 6: Final answer
    x = 7,907.25

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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.