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Finding the Fourth Proportional to 9,525.42, 14,263.28 and 7,666.38

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Solution

The fourth proportional to 9,525.42, 14,263.28 and 7,666.38 is: 11,479.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,525.42 : 14,263.28 = 7,666.38 : x
  2. Step 2: Convert to fraction form
    9,525.42/14,263.28 = 7,666.38/x
  3. Step 3: Cross multiply
    9,525.42x = 14,263.28 × 7,666.38
  4. Step 4: Simplify right side
    9,525.42x = 109,347,724.53
  5. Step 5: Solve for x
    x = 109,347,724.53/9,525.42
  6. Step 6: Final answer
    x = 11,479.57

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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.