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Finding the Fourth Proportional to 6,341.70, 9,504.45 and 3,047.70

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Solution

The fourth proportional to 6,341.70, 9,504.45 and 3,047.70 is: 4,567.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,341.70 : 9,504.45 = 3,047.70 : x
  2. Step 2: Convert to fraction form
    6,341.70/9,504.45 = 3,047.70/x
  3. Step 3: Cross multiply
    6,341.70x = 9,504.45 × 3,047.70
  4. Step 4: Simplify right side
    6,341.70x = 28,966,712.27
  5. Step 5: Solve for x
    x = 28,966,712.27/6,341.70
  6. Step 6: Final answer
    x = 4,567.66

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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.