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Finding the Fourth Proportional to 28,243, 42,364.50 and 9,775

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Solution

The fourth proportional to 28,243, 42,364.50 and 9,775 is: 14,662.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,243 : 42,364.50 = 9,775 : x
  2. Step 2: Convert to fraction form
    28,243/42,364.50 = 9,775/x
  3. Step 3: Cross multiply
    28,243x = 42,364.50 × 9,775
  4. Step 4: Simplify right side
    28,243x = 414,112,987.50
  5. Step 5: Solve for x
    x = 414,112,987.50/28,243
  6. Step 6: Final answer
    x = 14,662.50

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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.