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Finding the Fourth Proportional to 10,297.67, 15,314.02 and 9,969.62

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Solution

The fourth proportional to 10,297.67, 15,314.02 and 9,969.62 is: 14,826.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,297.67 : 15,314.02 = 9,969.62 : x
  2. Step 2: Convert to fraction form
    10,297.67/15,314.02 = 9,969.62/x
  3. Step 3: Cross multiply
    10,297.67x = 15,314.02 × 9,969.62
  4. Step 4: Simplify right side
    10,297.67x = 152,674,960.07
  5. Step 5: Solve for x
    x = 152,674,960.07/10,297.67
  6. Step 6: Final answer
    x = 14,826.17

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.