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Finding the Fourth Proportional to 6,123.97, 8,455.85 and 4,705.40

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Solution

The fourth proportional to 6,123.97, 8,455.85 and 4,705.40 is: 6,497.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,123.97 : 8,455.85 = 4,705.40 : x
  2. Step 2: Convert to fraction form
    6,123.97/8,455.85 = 4,705.40/x
  3. Step 3: Cross multiply
    6,123.97x = 8,455.85 × 4,705.40
  4. Step 4: Simplify right side
    6,123.97x = 39,788,154.20
  5. Step 5: Solve for x
    x = 39,788,154.20/6,123.97
  6. Step 6: Final answer
    x = 6,497.12

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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.