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Finding the Fourth Proportional to 9,420.91, 12,999.89 and 5,643.95

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Solution

The fourth proportional to 9,420.91, 12,999.89 and 5,643.95 is: 7,788.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,420.91 : 12,999.89 = 5,643.95 : x
  2. Step 2: Convert to fraction form
    9,420.91/12,999.89 = 5,643.95/x
  3. Step 3: Cross multiply
    9,420.91x = 12,999.89 × 5,643.95
  4. Step 4: Simplify right side
    9,420.91x = 73,370,678.28
  5. Step 5: Solve for x
    x = 73,370,678.28/9,420.91
  6. Step 6: Final answer
    x = 7,788.07

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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.