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Finding the Fourth Proportional to 9,850.34, 13,598.49 and 7,607.18

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Solution

The fourth proportional to 9,850.34, 13,598.49 and 7,607.18 is: 10,501.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,850.34 : 13,598.49 = 7,607.18 : x
  2. Step 2: Convert to fraction form
    9,850.34/13,598.49 = 7,607.18/x
  3. Step 3: Cross multiply
    9,850.34x = 13,598.49 × 7,607.18
  4. Step 4: Simplify right side
    9,850.34x = 103,446,123.12
  5. Step 5: Solve for x
    x = 103,446,123.12/9,850.34
  6. Step 6: Final answer
    x = 10,501.78

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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.