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Finding the Fourth Proportional to 6,585.68, 9,878.18 and 4,740.09

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Solution

The fourth proportional to 6,585.68, 9,878.18 and 4,740.09 is: 7,109.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,585.68 : 9,878.18 = 4,740.09 : x
  2. Step 2: Convert to fraction form
    6,585.68/9,878.18 = 4,740.09/x
  3. Step 3: Cross multiply
    6,585.68x = 9,878.18 × 4,740.09
  4. Step 4: Simplify right side
    6,585.68x = 46,823,438.54
  5. Step 5: Solve for x
    x = 46,823,438.54/6,585.68
  6. Step 6: Final answer
    x = 7,109.89

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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.