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Finding the Fourth Proportional to 9,427.49, 13,009.18 and 5,448.86

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Solution

The fourth proportional to 9,427.49, 13,009.18 and 5,448.86 is: 7,518.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,427.49 : 13,009.18 = 5,448.86 : x
  2. Step 2: Convert to fraction form
    9,427.49/13,009.18 = 5,448.86/x
  3. Step 3: Cross multiply
    9,427.49x = 13,009.18 × 5,448.86
  4. Step 4: Simplify right side
    9,427.49x = 70,885,173.29
  5. Step 5: Solve for x
    x = 70,885,173.29/9,427.49
  6. Step 6: Final answer
    x = 7,518.99

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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.