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Finding the Fourth Proportional to 9,494.16, 14,235.76 and 4,557.08

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Solution

The fourth proportional to 9,494.16, 14,235.76 and 4,557.08 is: 6,832.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,494.16 : 14,235.76 = 4,557.08 : x
  2. Step 2: Convert to fraction form
    9,494.16/14,235.76 = 4,557.08/x
  3. Step 3: Cross multiply
    9,494.16x = 14,235.76 × 4,557.08
  4. Step 4: Simplify right side
    9,494.16x = 64,873,497.18
  5. Step 5: Solve for x
    x = 64,873,497.18/9,494.16
  6. Step 6: Final answer
    x = 6,832.99

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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.