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Finding the Fourth Proportional to 6,930.63, 9,561.00 and 5,038.71

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Solution

The fourth proportional to 6,930.63, 9,561.00 and 5,038.71 is: 6,951.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,930.63 : 9,561.00 = 5,038.71 : x
  2. Step 2: Convert to fraction form
    6,930.63/9,561.00 = 5,038.71/x
  3. Step 3: Cross multiply
    6,930.63x = 9,561.00 × 5,038.71
  4. Step 4: Simplify right side
    6,930.63x = 48,175,089.35
  5. Step 5: Solve for x
    x = 48,175,089.35/6,930.63
  6. Step 6: Final answer
    x = 6,951.04

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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.