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Finding the Fourth Proportional to 9,634.56, 14,454.36 and 4,088.12

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Solution

The fourth proportional to 9,634.56, 14,454.36 and 4,088.12 is: 6,133.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,634.56 : 14,454.36 = 4,088.12 : x
  2. Step 2: Convert to fraction form
    9,634.56/14,454.36 = 4,088.12/x
  3. Step 3: Cross multiply
    9,634.56x = 14,454.36 × 4,088.12
  4. Step 4: Simplify right side
    9,634.56x = 59,091,158.20
  5. Step 5: Solve for x
    x = 59,091,158.20/9,634.56
  6. Step 6: Final answer
    x = 6,133.25

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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.