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Finding the Fourth Proportional to 9,525.65, 14,281.79 and 5,145.98

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Solution

The fourth proportional to 9,525.65, 14,281.79 and 5,145.98 is: 7,715.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,525.65 : 14,281.79 = 5,145.98 : x
  2. Step 2: Convert to fraction form
    9,525.65/14,281.79 = 5,145.98/x
  3. Step 3: Cross multiply
    9,525.65x = 14,281.79 × 5,145.98
  4. Step 4: Simplify right side
    9,525.65x = 73,493,708.57
  5. Step 5: Solve for x
    x = 73,493,708.57/9,525.65
  6. Step 6: Final answer
    x = 7,715.35

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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.