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Finding the Fourth Proportional to 9,783.56, 13,501.20 and 5,534.56

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Solution

The fourth proportional to 9,783.56, 13,501.20 and 5,534.56 is: 7,637.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,783.56 : 13,501.20 = 5,534.56 : x
  2. Step 2: Convert to fraction form
    9,783.56/13,501.20 = 5,534.56/x
  3. Step 3: Cross multiply
    9,783.56x = 13,501.20 × 5,534.56
  4. Step 4: Simplify right side
    9,783.56x = 74,723,201.47
  5. Step 5: Solve for x
    x = 74,723,201.47/9,783.56
  6. Step 6: Final answer
    x = 7,637.63

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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.