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Finding the Fourth Proportional to 9,836.44, 13,574.12 and 5,360.22

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Solution

The fourth proportional to 9,836.44, 13,574.12 and 5,360.22 is: 7,397.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,836.44 : 13,574.12 = 5,360.22 : x
  2. Step 2: Convert to fraction form
    9,836.44/13,574.12 = 5,360.22/x
  3. Step 3: Cross multiply
    9,836.44x = 13,574.12 × 5,360.22
  4. Step 4: Simplify right side
    9,836.44x = 72,760,242.71
  5. Step 5: Solve for x
    x = 72,760,242.71/9,836.44
  6. Step 6: Final answer
    x = 7,397.01

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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.