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Finding the Fourth Proportional to 10,205, 14,079.28 and 6,670.25

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Solution

The fourth proportional to 10,205, 14,079.28 and 6,670.25 is: 9,202.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,205 : 14,079.28 = 6,670.25 : x
  2. Step 2: Convert to fraction form
    10,205/14,079.28 = 6,670.25/x
  3. Step 3: Cross multiply
    10,205x = 14,079.28 × 6,670.25
  4. Step 4: Simplify right side
    10,205x = 93,912,317.42
  5. Step 5: Solve for x
    x = 93,912,317.42/10,205
  6. Step 6: Final answer
    x = 9,202.58

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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.