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Finding the Fourth Proportional to 6,783.13, 9,362.54 and 4,428.46

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Solution

The fourth proportional to 6,783.13, 9,362.54 and 4,428.46 is: 6,112.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,783.13 : 9,362.54 = 4,428.46 : x
  2. Step 2: Convert to fraction form
    6,783.13/9,362.54 = 4,428.46/x
  3. Step 3: Cross multiply
    6,783.13x = 9,362.54 × 4,428.46
  4. Step 4: Simplify right side
    6,783.13x = 41,461,564.93
  5. Step 5: Solve for x
    x = 41,461,564.93/6,783.13
  6. Step 6: Final answer
    x = 6,112.46

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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.