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Finding the Fourth Proportional to 9,291.40, 13,941.90 and 4,097.80

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Solution

The fourth proportional to 9,291.40, 13,941.90 and 4,097.80 is: 6,148.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,291.40 : 13,941.90 = 4,097.80 : x
  2. Step 2: Convert to fraction form
    9,291.40/13,941.90 = 4,097.80/x
  3. Step 3: Cross multiply
    9,291.40x = 13,941.90 × 4,097.80
  4. Step 4: Simplify right side
    9,291.40x = 57,131,117.82
  5. Step 5: Solve for x
    x = 57,131,117.82/9,291.40
  6. Step 6: Final answer
    x = 6,148.82

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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.