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Finding the Fourth Proportional to 9,143.37, 13,722.48 and 4,762.08

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Solution

The fourth proportional to 9,143.37, 13,722.48 and 4,762.08 is: 7,146.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,143.37 : 13,722.48 = 4,762.08 : x
  2. Step 2: Convert to fraction form
    9,143.37/13,722.48 = 4,762.08/x
  3. Step 3: Cross multiply
    9,143.37x = 13,722.48 × 4,762.08
  4. Step 4: Simplify right side
    9,143.37x = 65,347,547.56
  5. Step 5: Solve for x
    x = 65,347,547.56/9,143.37
  6. Step 6: Final answer
    x = 7,146.99

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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.