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Finding the Fourth Proportional to 9,898.50, 13,657.74 and 6,070.96

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Solution

The fourth proportional to 9,898.50, 13,657.74 and 6,070.96 is: 8,376.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,898.50 : 13,657.74 = 6,070.96 : x
  2. Step 2: Convert to fraction form
    9,898.50/13,657.74 = 6,070.96/x
  3. Step 3: Cross multiply
    9,898.50x = 13,657.74 × 6,070.96
  4. Step 4: Simplify right side
    9,898.50x = 82,915,593.23
  5. Step 5: Solve for x
    x = 82,915,593.23/9,898.50
  6. Step 6: Final answer
    x = 8,376.58

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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.