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Finding the Fourth Proportional to 9,683.70, 14,503.95 and 7,955.70

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Solution

The fourth proportional to 9,683.70, 14,503.95 and 7,955.70 is: 11,915.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,683.70 : 14,503.95 = 7,955.70 : x
  2. Step 2: Convert to fraction form
    9,683.70/14,503.95 = 7,955.70/x
  3. Step 3: Cross multiply
    9,683.70x = 14,503.95 × 7,955.70
  4. Step 4: Simplify right side
    9,683.70x = 115,389,075.02
  5. Step 5: Solve for x
    x = 115,389,075.02/9,683.70
  6. Step 6: Final answer
    x = 11,915.80

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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.