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Finding the Fourth Proportional to 9,558.81, 14,338.21 and 2,985.56

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Solution

The fourth proportional to 9,558.81, 14,338.21 and 2,985.56 is: 4,478.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,558.81 : 14,338.21 = 2,985.56 : x
  2. Step 2: Convert to fraction form
    9,558.81/14,338.21 = 2,985.56/x
  3. Step 3: Cross multiply
    9,558.81x = 14,338.21 × 2,985.56
  4. Step 4: Simplify right side
    9,558.81x = 42,807,566.46
  5. Step 5: Solve for x
    x = 42,807,566.46/9,558.81
  6. Step 6: Final answer
    x = 4,478.34

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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.