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Finding the Fourth Proportional to 9,527.34, 14,312.94 and 6,760.86

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Solution

The fourth proportional to 9,527.34, 14,312.94 and 6,760.86 is: 10,156.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,527.34 : 14,312.94 = 6,760.86 : x
  2. Step 2: Convert to fraction form
    9,527.34/14,312.94 = 6,760.86/x
  3. Step 3: Cross multiply
    9,527.34x = 14,312.94 × 6,760.86
  4. Step 4: Simplify right side
    9,527.34x = 96,767,783.53
  5. Step 5: Solve for x
    x = 96,767,783.53/9,527.34
  6. Step 6: Final answer
    x = 10,156.85

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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.