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Finding the Fourth Proportional to 9,382.90, 12,946.26 and 5,403.28

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Solution

The fourth proportional to 9,382.90, 12,946.26 and 5,403.28 is: 7,455.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,382.90 : 12,946.26 = 5,403.28 : x
  2. Step 2: Convert to fraction form
    9,382.90/12,946.26 = 5,403.28/x
  3. Step 3: Cross multiply
    9,382.90x = 12,946.26 × 5,403.28
  4. Step 4: Simplify right side
    9,382.90x = 69,952,267.73
  5. Step 5: Solve for x
    x = 69,952,267.73/9,382.90
  6. Step 6: Final answer
    x = 7,455.29

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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.