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Finding the Fourth Proportional to 6,437.42, 9,656.47 and 2,054.53

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Solution

The fourth proportional to 6,437.42, 9,656.47 and 2,054.53 is: 3,081.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,437.42 : 9,656.47 = 2,054.53 : x
  2. Step 2: Convert to fraction form
    6,437.42/9,656.47 = 2,054.53/x
  3. Step 3: Cross multiply
    6,437.42x = 9,656.47 × 2,054.53
  4. Step 4: Simplify right side
    6,437.42x = 19,839,521.95
  5. Step 5: Solve for x
    x = 19,839,521.95/6,437.42
  6. Step 6: Final answer
    x = 3,081.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.