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Finding the Fourth Proportional to 9,185.64, 13,756.56 and 5,019.40

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Solution

The fourth proportional to 9,185.64, 13,756.56 and 5,019.40 is: 7,517.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,185.64 : 13,756.56 = 5,019.40 : x
  2. Step 2: Convert to fraction form
    9,185.64/13,756.56 = 5,019.40/x
  3. Step 3: Cross multiply
    9,185.64x = 13,756.56 × 5,019.40
  4. Step 4: Simplify right side
    9,185.64x = 69,049,677.26
  5. Step 5: Solve for x
    x = 69,049,677.26/9,185.64
  6. Step 6: Final answer
    x = 7,517.13

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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.