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Finding the Fourth Proportional to 10,642.09, 14,679.05 and 6,656.28

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Solution

The fourth proportional to 10,642.09, 14,679.05 and 6,656.28 is: 9,181.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,642.09 : 14,679.05 = 6,656.28 : x
  2. Step 2: Convert to fraction form
    10,642.09/14,679.05 = 6,656.28/x
  3. Step 3: Cross multiply
    10,642.09x = 14,679.05 × 6,656.28
  4. Step 4: Simplify right side
    10,642.09x = 97,707,866.93
  5. Step 5: Solve for x
    x = 97,707,866.93/10,642.09
  6. Step 6: Final answer
    x = 9,181.27

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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.