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Finding the Fourth Proportional to 9,019.47, 12,436.74 and 5,828.57

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Solution

The fourth proportional to 9,019.47, 12,436.74 and 5,828.57 is: 8,036.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,019.47 : 12,436.74 = 5,828.57 : x
  2. Step 2: Convert to fraction form
    9,019.47/12,436.74 = 5,828.57/x
  3. Step 3: Cross multiply
    9,019.47x = 12,436.74 × 5,828.57
  4. Step 4: Simplify right side
    9,019.47x = 72,488,347.48
  5. Step 5: Solve for x
    x = 72,488,347.48/9,019.47
  6. Step 6: Final answer
    x = 8,036.87

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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.