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Finding the Fourth Proportional to 9,843.04, 13,584 and 5,651.92

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Solution

The fourth proportional to 9,843.04, 13,584 and 5,651.92 is: 7,800.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,843.04 : 13,584 = 5,651.92 : x
  2. Step 2: Convert to fraction form
    9,843.04/13,584 = 5,651.92/x
  3. Step 3: Cross multiply
    9,843.04x = 13,584 × 5,651.92
  4. Step 4: Simplify right side
    9,843.04x = 76,775,681.28
  5. Step 5: Solve for x
    x = 76,775,681.28/9,843.04
  6. Step 6: Final answer
    x = 7,800.00

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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.