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Finding the Fourth Proportional to 9,730.30, 13,428.31 and 5,952.28

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Solution

The fourth proportional to 9,730.30, 13,428.31 and 5,952.28 is: 8,214.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,730.30 : 13,428.31 = 5,952.28 : x
  2. Step 2: Convert to fraction form
    9,730.30/13,428.31 = 5,952.28/x
  3. Step 3: Cross multiply
    9,730.30x = 13,428.31 × 5,952.28
  4. Step 4: Simplify right side
    9,730.30x = 79,929,012.60
  5. Step 5: Solve for x
    x = 79,929,012.60/9,730.30
  6. Step 6: Final answer
    x = 8,214.45

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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.