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Finding the Fourth Proportional to 9,817.94, 14,731.64 and 4,888.01

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Solution

The fourth proportional to 9,817.94, 14,731.64 and 4,888.01 is: 7,334.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,817.94 : 14,731.64 = 4,888.01 : x
  2. Step 2: Convert to fraction form
    9,817.94/14,731.64 = 4,888.01/x
  3. Step 3: Cross multiply
    9,817.94x = 14,731.64 × 4,888.01
  4. Step 4: Simplify right side
    9,817.94x = 72,008,379.20
  5. Step 5: Solve for x
    x = 72,008,379.20/9,817.94
  6. Step 6: Final answer
    x = 7,334.37

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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.