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Finding the Fourth Proportional to 9,557.41, 14,306.94 and 7,086.10

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Solution

The fourth proportional to 9,557.41, 14,306.94 and 7,086.10 is: 10,607.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,557.41 : 14,306.94 = 7,086.10 : x
  2. Step 2: Convert to fraction form
    9,557.41/14,306.94 = 7,086.10/x
  3. Step 3: Cross multiply
    9,557.41x = 14,306.94 × 7,086.10
  4. Step 4: Simplify right side
    9,557.41x = 101,380,407.53
  5. Step 5: Solve for x
    x = 101,380,407.53/9,557.41
  6. Step 6: Final answer
    x = 10,607.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.