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Finding the Fourth Proportional to 9,084.87, 13,594.41 and 7,510.23

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Solution

The fourth proportional to 9,084.87, 13,594.41 and 7,510.23 is: 11,238.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,084.87 : 13,594.41 = 7,510.23 : x
  2. Step 2: Convert to fraction form
    9,084.87/13,594.41 = 7,510.23/x
  3. Step 3: Cross multiply
    9,084.87x = 13,594.41 × 7,510.23
  4. Step 4: Simplify right side
    9,084.87x = 102,097,145.81
  5. Step 5: Solve for x
    x = 102,097,145.81/9,084.87
  6. Step 6: Final answer
    x = 11,238.15

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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.