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Finding the Fourth Proportional to 9,723.63, 14,588.53 and 3,483.50

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Solution

The fourth proportional to 9,723.63, 14,588.53 and 3,483.50 is: 5,226.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,723.63 : 14,588.53 = 3,483.50 : x
  2. Step 2: Convert to fraction form
    9,723.63/14,588.53 = 3,483.50/x
  3. Step 3: Cross multiply
    9,723.63x = 14,588.53 × 3,483.50
  4. Step 4: Simplify right side
    9,723.63x = 50,819,062.60
  5. Step 5: Solve for x
    x = 50,819,062.60/9,723.63
  6. Step 6: Final answer
    x = 5,226.34

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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.