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Finding the Fourth Proportional to 9,606.12, 14,460.10 and 6,851.85

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Solution

The fourth proportional to 9,606.12, 14,460.10 and 6,851.85 is: 10,314.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,606.12 : 14,460.10 = 6,851.85 : x
  2. Step 2: Convert to fraction form
    9,606.12/14,460.10 = 6,851.85/x
  3. Step 3: Cross multiply
    9,606.12x = 14,460.10 × 6,851.85
  4. Step 4: Simplify right side
    9,606.12x = 99,078,436.19
  5. Step 5: Solve for x
    x = 99,078,436.19/9,606.12
  6. Step 6: Final answer
    x = 10,314.10

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.