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Finding the Fourth Proportional to 9,776.32, 13,493.05 and 5,798.81

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Solution

The fourth proportional to 9,776.32, 13,493.05 and 5,798.81 is: 8,003.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,776.32 : 13,493.05 = 5,798.81 : x
  2. Step 2: Convert to fraction form
    9,776.32/13,493.05 = 5,798.81/x
  3. Step 3: Cross multiply
    9,776.32x = 13,493.05 × 5,798.81
  4. Step 4: Simplify right side
    9,776.32x = 78,243,652.51
  5. Step 5: Solve for x
    x = 78,243,652.51/9,776.32
  6. Step 6: Final answer
    x = 8,003.39

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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.