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Finding the Fourth Proportional to 9,803.16, 13,512.60 and 7,675.02

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Solution

The fourth proportional to 9,803.16, 13,512.60 and 7,675.02 is: 10,579.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,803.16 : 13,512.60 = 7,675.02 : x
  2. Step 2: Convert to fraction form
    9,803.16/13,512.60 = 7,675.02/x
  3. Step 3: Cross multiply
    9,803.16x = 13,512.60 × 7,675.02
  4. Step 4: Simplify right side
    9,803.16x = 103,709,475.25
  5. Step 5: Solve for x
    x = 103,709,475.25/9,803.16
  6. Step 6: Final answer
    x = 10,579.19

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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.