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Finding the Fourth Proportional to 9,141.61, 13,698.05 and 7,066.70

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Solution

The fourth proportional to 9,141.61, 13,698.05 and 7,066.70 is: 10,588.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,141.61 : 13,698.05 = 7,066.70 : x
  2. Step 2: Convert to fraction form
    9,141.61/13,698.05 = 7,066.70/x
  3. Step 3: Cross multiply
    9,141.61x = 13,698.05 × 7,066.70
  4. Step 4: Simplify right side
    9,141.61x = 96,800,009.94
  5. Step 5: Solve for x
    x = 96,800,009.94/9,141.61
  6. Step 6: Final answer
    x = 10,588.95

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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.