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Finding the Fourth Proportional to 9,506.80, 14,263.44 and 5,124.68

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Solution

The fourth proportional to 9,506.80, 14,263.44 and 5,124.68 is: 7,688.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,506.80 : 14,263.44 = 5,124.68 : x
  2. Step 2: Convert to fraction form
    9,506.80/14,263.44 = 5,124.68/x
  3. Step 3: Cross multiply
    9,506.80x = 14,263.44 × 5,124.68
  4. Step 4: Simplify right side
    9,506.80x = 73,095,565.70
  5. Step 5: Solve for x
    x = 73,095,565.70/9,506.80
  6. Step 6: Final answer
    x = 7,688.77

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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.