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Finding the Fourth Proportional to 9,557.73, 14,342.16 and 4,010.64

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Solution

The fourth proportional to 9,557.73, 14,342.16 and 4,010.64 is: 6,018.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,557.73 : 14,342.16 = 4,010.64 : x
  2. Step 2: Convert to fraction form
    9,557.73/14,342.16 = 4,010.64/x
  3. Step 3: Cross multiply
    9,557.73x = 14,342.16 × 4,010.64
  4. Step 4: Simplify right side
    9,557.73x = 57,521,240.58
  5. Step 5: Solve for x
    x = 57,521,240.58/9,557.73
  6. Step 6: Final answer
    x = 6,018.30

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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.