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Finding the Fourth Proportional to 9,838.09, 14,762.53 and 4,643.83

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Solution

The fourth proportional to 9,838.09, 14,762.53 and 4,643.83 is: 6,968.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,838.09 : 14,762.53 = 4,643.83 : x
  2. Step 2: Convert to fraction form
    9,838.09/14,762.53 = 4,643.83/x
  3. Step 3: Cross multiply
    9,838.09x = 14,762.53 × 4,643.83
  4. Step 4: Simplify right side
    9,838.09x = 68,554,679.69
  5. Step 5: Solve for x
    x = 68,554,679.69/9,838.09
  6. Step 6: Final answer
    x = 6,968.29

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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.