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Finding the Fourth Proportional to 6,162.95, 9,235.78 and 4,106.63

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Solution

The fourth proportional to 6,162.95, 9,235.78 and 4,106.63 is: 6,154.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,162.95 : 9,235.78 = 4,106.63 : x
  2. Step 2: Convert to fraction form
    6,162.95/9,235.78 = 4,106.63/x
  3. Step 3: Cross multiply
    6,162.95x = 9,235.78 × 4,106.63
  4. Step 4: Simplify right side
    6,162.95x = 37,927,864.51
  5. Step 5: Solve for x
    x = 37,927,864.51/6,162.95
  6. Step 6: Final answer
    x = 6,154.18

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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.