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Finding the Fourth Proportional to 9,733.90, 14,588.70 and 7,133.80

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Solution

The fourth proportional to 9,733.90, 14,588.70 and 7,133.80 is: 10,691.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,733.90 : 14,588.70 = 7,133.80 : x
  2. Step 2: Convert to fraction form
    9,733.90/14,588.70 = 7,133.80/x
  3. Step 3: Cross multiply
    9,733.90x = 14,588.70 × 7,133.80
  4. Step 4: Simplify right side
    9,733.90x = 104,072,868.06
  5. Step 5: Solve for x
    x = 104,072,868.06/9,733.90
  6. Step 6: Final answer
    x = 10,691.80

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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.