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Finding the Fourth Proportional to 9,836.40, 13,574.18 and 5,646

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Solution

The fourth proportional to 9,836.40, 13,574.18 and 5,646 is: 7,791.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,836.40 : 13,574.18 = 5,646 : x
  2. Step 2: Convert to fraction form
    9,836.40/13,574.18 = 5,646/x
  3. Step 3: Cross multiply
    9,836.40x = 13,574.18 × 5,646
  4. Step 4: Simplify right side
    9,836.40x = 76,639,820.28
  5. Step 5: Solve for x
    x = 76,639,820.28/9,836.40
  6. Step 6: Final answer
    x = 7,791.45

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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.