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Finding the Fourth Proportional to 27,772.32, 41,649.76 and 9,300

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Solution

The fourth proportional to 27,772.32, 41,649.76 and 9,300 is: 13,947.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,772.32 : 41,649.76 = 9,300 : x
  2. Step 2: Convert to fraction form
    27,772.32/41,649.76 = 9,300/x
  3. Step 3: Cross multiply
    27,772.32x = 41,649.76 × 9,300
  4. Step 4: Simplify right side
    27,772.32x = 387,342,768
  5. Step 5: Solve for x
    x = 387,342,768/27,772.32
  6. Step 6: Final answer
    x = 13,947.08

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