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Finding the Fourth Proportional to 9,646.70, 13,312.54 and 5,667.90

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Solution

The fourth proportional to 9,646.70, 13,312.54 and 5,667.90 is: 7,821.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,646.70 : 13,312.54 = 5,667.90 : x
  2. Step 2: Convert to fraction form
    9,646.70/13,312.54 = 5,667.90/x
  3. Step 3: Cross multiply
    9,646.70x = 13,312.54 × 5,667.90
  4. Step 4: Simplify right side
    9,646.70x = 75,454,145.47
  5. Step 5: Solve for x
    x = 75,454,145.47/9,646.70
  6. Step 6: Final answer
    x = 7,821.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.