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Finding the Fourth Proportional to 9,893.34, 13,652.81 and 5,417.38

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Solution

The fourth proportional to 9,893.34, 13,652.81 and 5,417.38 is: 7,475.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,893.34 : 13,652.81 = 5,417.38 : x
  2. Step 2: Convert to fraction form
    9,893.34/13,652.81 = 5,417.38/x
  3. Step 3: Cross multiply
    9,893.34x = 13,652.81 × 5,417.38
  4. Step 4: Simplify right side
    9,893.34x = 73,962,459.84
  5. Step 5: Solve for x
    x = 73,962,459.84/9,893.34
  6. Step 6: Final answer
    x = 7,475.98

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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.