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Finding the Fourth Proportional to 9,642.76, 14,455.36 and 3,798

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Solution

The fourth proportional to 9,642.76, 14,455.36 and 3,798 is: 5,693.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,642.76 : 14,455.36 = 3,798 : x
  2. Step 2: Convert to fraction form
    9,642.76/14,455.36 = 3,798/x
  3. Step 3: Cross multiply
    9,642.76x = 14,455.36 × 3,798
  4. Step 4: Simplify right side
    9,642.76x = 54,901,457.28
  5. Step 5: Solve for x
    x = 54,901,457.28/9,642.76
  6. Step 6: Final answer
    x = 5,693.54

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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.