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Finding the Fourth Proportional to 9,804.42, 13,533.04 and 7,814.26

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Solution

The fourth proportional to 9,804.42, 13,533.04 and 7,814.26 is: 10,786.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,804.42 : 13,533.04 = 7,814.26 : x
  2. Step 2: Convert to fraction form
    9,804.42/13,533.04 = 7,814.26/x
  3. Step 3: Cross multiply
    9,804.42x = 13,533.04 × 7,814.26
  4. Step 4: Simplify right side
    9,804.42x = 105,750,693.15
  5. Step 5: Solve for x
    x = 105,750,693.15/9,804.42
  6. Step 6: Final answer
    x = 10,786.02

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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.