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Finding the Fourth Proportional to 9,783.54, 13,499.57 and 5,534.58

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Solution

The fourth proportional to 9,783.54, 13,499.57 and 5,534.58 is: 7,636.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,783.54 : 13,499.57 = 5,534.58 : x
  2. Step 2: Convert to fraction form
    9,783.54/13,499.57 = 5,534.58/x
  3. Step 3: Cross multiply
    9,783.54x = 13,499.57 × 5,534.58
  4. Step 4: Simplify right side
    9,783.54x = 74,714,450.13
  5. Step 5: Solve for x
    x = 74,714,450.13/9,783.54
  6. Step 6: Final answer
    x = 7,636.75

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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.