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Finding the Fourth Proportional to 9,946.03, 13,725.41 and 7,405.15

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Solution

The fourth proportional to 9,946.03, 13,725.41 and 7,405.15 is: 10,219.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,946.03 : 13,725.41 = 7,405.15 : x
  2. Step 2: Convert to fraction form
    9,946.03/13,725.41 = 7,405.15/x
  3. Step 3: Cross multiply
    9,946.03x = 13,725.41 × 7,405.15
  4. Step 4: Simplify right side
    9,946.03x = 101,638,719.86
  5. Step 5: Solve for x
    x = 101,638,719.86/9,946.03
  6. Step 6: Final answer
    x = 10,219.02

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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.