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Finding the Fourth Proportional to 9,683.56, 14,525.40 and 4,751.92

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Solution

The fourth proportional to 9,683.56, 14,525.40 and 4,751.92 is: 7,127.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,683.56 : 14,525.40 = 4,751.92 : x
  2. Step 2: Convert to fraction form
    9,683.56/14,525.40 = 4,751.92/x
  3. Step 3: Cross multiply
    9,683.56x = 14,525.40 × 4,751.92
  4. Step 4: Simplify right side
    9,683.56x = 69,023,538.77
  5. Step 5: Solve for x
    x = 69,023,538.77/9,683.56
  6. Step 6: Final answer
    x = 7,127.91

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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.