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Finding the Fourth Proportional to 9,981.57, 13,774.50 and 5,505.51

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Solution

The fourth proportional to 9,981.57, 13,774.50 and 5,505.51 is: 7,597.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,981.57 : 13,774.50 = 5,505.51 : x
  2. Step 2: Convert to fraction form
    9,981.57/13,774.50 = 5,505.51/x
  3. Step 3: Cross multiply
    9,981.57x = 13,774.50 × 5,505.51
  4. Step 4: Simplify right side
    9,981.57x = 75,835,647.50
  5. Step 5: Solve for x
    x = 75,835,647.50/9,981.57
  6. Step 6: Final answer
    x = 7,597.57

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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.