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Finding the Fourth Proportional to 9,891.84, 14,837.76 and 4,416

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Solution

The fourth proportional to 9,891.84, 14,837.76 and 4,416 is: 6,624

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,891.84 : 14,837.76 = 4,416 : x
  2. Step 2: Convert to fraction form
    9,891.84/14,837.76 = 4,416/x
  3. Step 3: Cross multiply
    9,891.84x = 14,837.76 × 4,416
  4. Step 4: Simplify right side
    9,891.84x = 65,523,548.16
  5. Step 5: Solve for x
    x = 65,523,548.16/9,891.84
  6. Step 6: Final answer
    x = 6,624

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.