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Finding the Fourth Proportional to 6,494.08, 9,740.16 and 1,875.84

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Solution

The fourth proportional to 6,494.08, 9,740.16 and 1,875.84 is: 2,813.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,494.08 : 9,740.16 = 1,875.84 : x
  2. Step 2: Convert to fraction form
    6,494.08/9,740.16 = 1,875.84/x
  3. Step 3: Cross multiply
    6,494.08x = 9,740.16 × 1,875.84
  4. Step 4: Simplify right side
    6,494.08x = 18,270,981.73
  5. Step 5: Solve for x
    x = 18,270,981.73/6,494.08
  6. Step 6: Final answer
    x = 2,813.48

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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.