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Finding the Fourth Proportional to 9,848.07, 14,767.79 and 3,687.75

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Solution

The fourth proportional to 9,848.07, 14,767.79 and 3,687.75 is: 5,530.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,848.07 : 14,767.79 = 3,687.75 : x
  2. Step 2: Convert to fraction form
    9,848.07/14,767.79 = 3,687.75/x
  3. Step 3: Cross multiply
    9,848.07x = 14,767.79 × 3,687.75
  4. Step 4: Simplify right side
    9,848.07x = 54,459,899.13
  5. Step 5: Solve for x
    x = 54,459,899.13/9,848.07
  6. Step 6: Final answer
    x = 5,530.01

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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.