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Finding the Fourth Proportional to 7,152.26, 9,870.24 and 4,009.18

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Solution

The fourth proportional to 7,152.26, 9,870.24 and 4,009.18 is: 5,532.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,152.26 : 9,870.24 = 4,009.18 : x
  2. Step 2: Convert to fraction form
    7,152.26/9,870.24 = 4,009.18/x
  3. Step 3: Cross multiply
    7,152.26x = 9,870.24 × 4,009.18
  4. Step 4: Simplify right side
    7,152.26x = 39,571,568.80
  5. Step 5: Solve for x
    x = 39,571,568.80/7,152.26
  6. Step 6: Final answer
    x = 5,532.74

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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.