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Finding the Fourth Proportional to 9,903.84, 13,667.16 and 5,712

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Solution

The fourth proportional to 9,903.84, 13,667.16 and 5,712 is: 7,882.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,903.84 : 13,667.16 = 5,712 : x
  2. Step 2: Convert to fraction form
    9,903.84/13,667.16 = 5,712/x
  3. Step 3: Cross multiply
    9,903.84x = 13,667.16 × 5,712
  4. Step 4: Simplify right side
    9,903.84x = 78,066,817.92
  5. Step 5: Solve for x
    x = 78,066,817.92/9,903.84
  6. Step 6: Final answer
    x = 7,882.48

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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.