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Finding the Fourth Proportional to 9,637.58, 14,458.94 and 4,091.24

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Solution

The fourth proportional to 9,637.58, 14,458.94 and 4,091.24 is: 6,137.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,637.58 : 14,458.94 = 4,091.24 : x
  2. Step 2: Convert to fraction form
    9,637.58/14,458.94 = 4,091.24/x
  3. Step 3: Cross multiply
    9,637.58x = 14,458.94 × 4,091.24
  4. Step 4: Simplify right side
    9,637.58x = 59,154,900.93
  5. Step 5: Solve for x
    x = 59,154,900.93/9,637.58
  6. Step 6: Final answer
    x = 6,137.94

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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.