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Finding the Fourth Proportional to 9,701.40, 13,369.50 and 7,339.80

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Solution

The fourth proportional to 9,701.40, 13,369.50 and 7,339.80 is: 10,114.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,701.40 : 13,369.50 = 7,339.80 : x
  2. Step 2: Convert to fraction form
    9,701.40/13,369.50 = 7,339.80/x
  3. Step 3: Cross multiply
    9,701.40x = 13,369.50 × 7,339.80
  4. Step 4: Simplify right side
    9,701.40x = 98,129,456.10
  5. Step 5: Solve for x
    x = 98,129,456.10/9,701.40
  6. Step 6: Final answer
    x = 10,114.98

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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.