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Finding the Fourth Proportional to 9,836.51, 13,574.20 and 5,360.30

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Solution

The fourth proportional to 9,836.51, 13,574.20 and 5,360.30 is: 7,397.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,836.51 : 13,574.20 = 5,360.30 : x
  2. Step 2: Convert to fraction form
    9,836.51/13,574.20 = 5,360.30/x
  3. Step 3: Cross multiply
    9,836.51x = 13,574.20 × 5,360.30
  4. Step 4: Simplify right side
    9,836.51x = 72,761,784.26
  5. Step 5: Solve for x
    x = 72,761,784.26/9,836.51
  6. Step 6: Final answer
    x = 7,397.11

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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.