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Finding the Fourth Proportional to 9,836.46, 14,643.45 and 9,778.08

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Solution

The fourth proportional to 9,836.46, 14,643.45 and 9,778.08 is: 14,556.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,836.46 : 14,643.45 = 9,778.08 : x
  2. Step 2: Convert to fraction form
    9,836.46/14,643.45 = 9,778.08/x
  3. Step 3: Cross multiply
    9,836.46x = 14,643.45 × 9,778.08
  4. Step 4: Simplify right side
    9,836.46x = 143,184,825.58
  5. Step 5: Solve for x
    x = 143,184,825.58/9,836.46
  6. Step 6: Final answer
    x = 14,556.54

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.