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Finding the Fourth Proportional to 9,637.29, 14,458.06 and 4,095.37

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Solution

The fourth proportional to 9,637.29, 14,458.06 and 4,095.37 is: 6,143.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,637.29 : 14,458.06 = 4,095.37 : x
  2. Step 2: Convert to fraction form
    9,637.29/14,458.06 = 4,095.37/x
  3. Step 3: Cross multiply
    9,637.29x = 14,458.06 × 4,095.37
  4. Step 4: Simplify right side
    9,637.29x = 59,211,012.42
  5. Step 5: Solve for x
    x = 59,211,012.42/9,637.29
  6. Step 6: Final answer
    x = 6,143.95

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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.