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Finding the Fourth Proportional to 9,857.49, 13,600.08 and 6,501.98

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Solution

The fourth proportional to 9,857.49, 13,600.08 and 6,501.98 is: 8,970.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,857.49 : 13,600.08 = 6,501.98 : x
  2. Step 2: Convert to fraction form
    9,857.49/13,600.08 = 6,501.98/x
  3. Step 3: Cross multiply
    9,857.49x = 13,600.08 × 6,501.98
  4. Step 4: Simplify right side
    9,857.49x = 88,427,380.16
  5. Step 5: Solve for x
    x = 88,427,380.16/9,857.49
  6. Step 6: Final answer
    x = 8,970.58

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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.