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Finding the Fourth Proportional to 9,870.75, 13,621.21 and 5,394.69

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Solution

The fourth proportional to 9,870.75, 13,621.21 and 5,394.69 is: 7,444.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,870.75 : 13,621.21 = 5,394.69 : x
  2. Step 2: Convert to fraction form
    9,870.75/13,621.21 = 5,394.69/x
  3. Step 3: Cross multiply
    9,870.75x = 13,621.21 × 5,394.69
  4. Step 4: Simplify right side
    9,870.75x = 73,482,205.37
  5. Step 5: Solve for x
    x = 73,482,205.37/9,870.75
  6. Step 6: Final answer
    x = 7,444.44

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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.