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Finding the Fourth Proportional to 9,804.03, 13,529.76 and 5,825.16

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Solution

The fourth proportional to 9,804.03, 13,529.76 and 5,825.16 is: 8,038.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,804.03 : 13,529.76 = 5,825.16 : x
  2. Step 2: Convert to fraction form
    9,804.03/13,529.76 = 5,825.16/x
  3. Step 3: Cross multiply
    9,804.03x = 13,529.76 × 5,825.16
  4. Step 4: Simplify right side
    9,804.03x = 78,813,016.76
  5. Step 5: Solve for x
    x = 78,813,016.76/9,804.03
  6. Step 6: Final answer
    x = 8,038.84

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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.