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Finding the Fourth Proportional to 9,969.43, 14,955.36 and 4,130.14

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Solution

The fourth proportional to 9,969.43, 14,955.36 and 4,130.14 is: 6,195.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,969.43 : 14,955.36 = 4,130.14 : x
  2. Step 2: Convert to fraction form
    9,969.43/14,955.36 = 4,130.14/x
  3. Step 3: Cross multiply
    9,969.43x = 14,955.36 × 4,130.14
  4. Step 4: Simplify right side
    9,969.43x = 61,767,730.55
  5. Step 5: Solve for x
    x = 61,767,730.55/9,969.43
  6. Step 6: Final answer
    x = 6,195.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.