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Finding the Fourth Proportional to 9,771.04, 13,483.90 and 5,294.69

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Solution

The fourth proportional to 9,771.04, 13,483.90 and 5,294.69 is: 7,306.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,771.04 : 13,483.90 = 5,294.69 : x
  2. Step 2: Convert to fraction form
    9,771.04/13,483.90 = 5,294.69/x
  3. Step 3: Cross multiply
    9,771.04x = 13,483.90 × 5,294.69
  4. Step 4: Simplify right side
    9,771.04x = 71,393,070.49
  5. Step 5: Solve for x
    x = 71,393,070.49/9,771.04
  6. Step 6: Final answer
    x = 7,306.60

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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.