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Finding the Fourth Proportional to 9,989, 14,985.93 and 3,325.48

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Solution

The fourth proportional to 9,989, 14,985.93 and 3,325.48 is: 4,989.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,989 : 14,985.93 = 3,325.48 : x
  2. Step 2: Convert to fraction form
    9,989/14,985.93 = 3,325.48/x
  3. Step 3: Cross multiply
    9,989x = 14,985.93 × 3,325.48
  4. Step 4: Simplify right side
    9,989x = 49,835,410.50
  5. Step 5: Solve for x
    x = 49,835,410.50/9,989
  6. Step 6: Final answer
    x = 4,989.03

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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.