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Finding the Fourth Proportional to 9,870.29, 13,620.42 and 5,393.15

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Solution

The fourth proportional to 9,870.29, 13,620.42 and 5,393.15 is: 7,442.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,870.29 : 13,620.42 = 5,393.15 : x
  2. Step 2: Convert to fraction form
    9,870.29/13,620.42 = 5,393.15/x
  3. Step 3: Cross multiply
    9,870.29x = 13,620.42 × 5,393.15
  4. Step 4: Simplify right side
    9,870.29x = 73,456,968.12
  5. Step 5: Solve for x
    x = 73,456,968.12/9,870.29
  6. Step 6: Final answer
    x = 7,442.23

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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.