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Finding the Fourth Proportional to 27,795.66, 41,683.02 and 9,071.28

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Solution

The fourth proportional to 27,795.66, 41,683.02 and 9,071.28 is: 13,603.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,795.66 : 41,683.02 = 9,071.28 : x
  2. Step 2: Convert to fraction form
    27,795.66/41,683.02 = 9,071.28/x
  3. Step 3: Cross multiply
    27,795.66x = 41,683.02 × 9,071.28
  4. Step 4: Simplify right side
    27,795.66x = 378,118,345.67
  5. Step 5: Solve for x
    x = 378,118,345.67/27,795.66
  6. Step 6: Final answer
    x = 13,603.50

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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.