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Finding the Fourth Proportional to 9,710.50, 13,402.70 and 6,874.93

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Solution

The fourth proportional to 9,710.50, 13,402.70 and 6,874.93 is: 9,488.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,710.50 : 13,402.70 = 6,874.93 : x
  2. Step 2: Convert to fraction form
    9,710.50/13,402.70 = 6,874.93/x
  3. Step 3: Cross multiply
    9,710.50x = 13,402.70 × 6,874.93
  4. Step 4: Simplify right side
    9,710.50x = 92,142,557.30
  5. Step 5: Solve for x
    x = 92,142,557.30/9,710.50
  6. Step 6: Final answer
    x = 9,488.96

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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.