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Finding the Fourth Proportional to 9,381.86, 14,061.86 and 5,478.07

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Solution

The fourth proportional to 9,381.86, 14,061.86 and 5,478.07 is: 8,210.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,381.86 : 14,061.86 = 5,478.07 : x
  2. Step 2: Convert to fraction form
    9,381.86/14,061.86 = 5,478.07/x
  3. Step 3: Cross multiply
    9,381.86x = 14,061.86 × 5,478.07
  4. Step 4: Simplify right side
    9,381.86x = 77,031,811.41
  5. Step 5: Solve for x
    x = 77,031,811.41/9,381.86
  6. Step 6: Final answer
    x = 8,210.72

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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.