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Finding the Fourth Proportional to 37,852.94, 56,776.37 and 9,774

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Solution

The fourth proportional to 37,852.94, 56,776.37 and 9,774 is: 14,660.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,852.94 : 56,776.37 = 9,774 : x
  2. Step 2: Convert to fraction form
    37,852.94/56,776.37 = 9,774/x
  3. Step 3: Cross multiply
    37,852.94x = 56,776.37 × 9,774
  4. Step 4: Simplify right side
    37,852.94x = 554,932,191.51
  5. Step 5: Solve for x
    x = 554,932,191.51/37,852.94
  6. Step 6: Final answer
    x = 14,660.21

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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.