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Finding the Fourth Proportional to 6,527.34, 9,025.46 and 6,421.84

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Solution

The fourth proportional to 6,527.34, 9,025.46 and 6,421.84 is: 8,879.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,527.34 : 9,025.46 = 6,421.84 : x
  2. Step 2: Convert to fraction form
    6,527.34/9,025.46 = 6,421.84/x
  3. Step 3: Cross multiply
    6,527.34x = 9,025.46 × 6,421.84
  4. Step 4: Simplify right side
    6,527.34x = 57,960,060.05
  5. Step 5: Solve for x
    x = 57,960,060.05/6,527.34
  6. Step 6: Final answer
    x = 8,879.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.