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Finding the Fourth Proportional to 7,005.98, 9,667.51 and 4,316.75

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Solution

The fourth proportional to 7,005.98, 9,667.51 and 4,316.75 is: 5,956.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,005.98 : 9,667.51 = 4,316.75 : x
  2. Step 2: Convert to fraction form
    7,005.98/9,667.51 = 4,316.75/x
  3. Step 3: Cross multiply
    7,005.98x = 9,667.51 × 4,316.75
  4. Step 4: Simplify right side
    7,005.98x = 41,732,223.79
  5. Step 5: Solve for x
    x = 41,732,223.79/7,005.98
  6. Step 6: Final answer
    x = 5,956.66

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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.