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Finding the Fourth Proportional to 9,661.64, 14,501.84 and 4,667.55

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Solution

The fourth proportional to 9,661.64, 14,501.84 and 4,667.55 is: 7,005.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,661.64 : 14,501.84 = 4,667.55 : x
  2. Step 2: Convert to fraction form
    9,661.64/14,501.84 = 4,667.55/x
  3. Step 3: Cross multiply
    9,661.64x = 14,501.84 × 4,667.55
  4. Step 4: Simplify right side
    9,661.64x = 67,688,026.36
  5. Step 5: Solve for x
    x = 67,688,026.36/9,661.64
  6. Step 6: Final answer
    x = 7,005.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.