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Finding the Fourth Proportional to 9,262.99, 12,782.94 and 5,284

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Solution

The fourth proportional to 9,262.99, 12,782.94 and 5,284 is: 7,291.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,262.99 : 12,782.94 = 5,284 : x
  2. Step 2: Convert to fraction form
    9,262.99/12,782.94 = 5,284/x
  3. Step 3: Cross multiply
    9,262.99x = 12,782.94 × 5,284
  4. Step 4: Simplify right side
    9,262.99x = 67,545,054.96
  5. Step 5: Solve for x
    x = 67,545,054.96/9,262.99
  6. Step 6: Final answer
    x = 7,291.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.