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Finding the Fourth Proportional to 6,845.60, 9,455.11 and 4,864.75

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Solution

The fourth proportional to 6,845.60, 9,455.11 and 4,864.75 is: 6,719.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,845.60 : 9,455.11 = 4,864.75 : x
  2. Step 2: Convert to fraction form
    6,845.60/9,455.11 = 4,864.75/x
  3. Step 3: Cross multiply
    6,845.60x = 9,455.11 × 4,864.75
  4. Step 4: Simplify right side
    6,845.60x = 45,996,710.57
  5. Step 5: Solve for x
    x = 45,996,710.57/6,845.60
  6. Step 6: Final answer
    x = 6,719.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.