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Finding the Fourth Proportional to 10,418.16, 15,546.48 and 9,486.84

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Solution

The fourth proportional to 10,418.16, 15,546.48 and 9,486.84 is: 14,156.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,418.16 : 15,546.48 = 9,486.84 : x
  2. Step 2: Convert to fraction form
    10,418.16/15,546.48 = 9,486.84/x
  3. Step 3: Cross multiply
    10,418.16x = 15,546.48 × 9,486.84
  4. Step 4: Simplify right side
    10,418.16x = 147,486,968.32
  5. Step 5: Solve for x
    x = 147,486,968.32/10,418.16
  6. Step 6: Final answer
    x = 14,156.72

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.