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Finding the Fourth Proportional to 9,844.88, 14,780.52 and 6,154.64

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Solution

The fourth proportional to 9,844.88, 14,780.52 and 6,154.64 is: 9,240.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,844.88 : 14,780.52 = 6,154.64 : x
  2. Step 2: Convert to fraction form
    9,844.88/14,780.52 = 6,154.64/x
  3. Step 3: Cross multiply
    9,844.88x = 14,780.52 × 6,154.64
  4. Step 4: Simplify right side
    9,844.88x = 90,968,779.61
  5. Step 5: Solve for x
    x = 90,968,779.61/9,844.88
  6. Step 6: Final answer
    x = 9,240.21

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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.