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Finding the Fourth Proportional to 7,148.88, 9,870.26 and 4,464.18

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Solution

The fourth proportional to 7,148.88, 9,870.26 and 4,464.18 is: 6,163.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,148.88 : 9,870.26 = 4,464.18 : x
  2. Step 2: Convert to fraction form
    7,148.88/9,870.26 = 4,464.18/x
  3. Step 3: Cross multiply
    7,148.88x = 9,870.26 × 4,464.18
  4. Step 4: Simplify right side
    7,148.88x = 44,062,617.29
  5. Step 5: Solve for x
    x = 44,062,617.29/7,148.88
  6. Step 6: Final answer
    x = 6,163.57

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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.