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Finding the Fourth Proportional to 9,534.12, 14,274.77 and 7,187.01

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Solution

The fourth proportional to 9,534.12, 14,274.77 and 7,187.01 is: 10,760.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,534.12 : 14,274.77 = 7,187.01 : x
  2. Step 2: Convert to fraction form
    9,534.12/14,274.77 = 7,187.01/x
  3. Step 3: Cross multiply
    9,534.12x = 14,274.77 × 7,187.01
  4. Step 4: Simplify right side
    9,534.12x = 102,592,878.80
  5. Step 5: Solve for x
    x = 102,592,878.80/9,534.12
  6. Step 6: Final answer
    x = 10,760.60

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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.