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Finding the Fourth Proportional to 9,771.17, 13,484.25 and 5,294.93

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Solution

The fourth proportional to 9,771.17, 13,484.25 and 5,294.93 is: 7,307.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,771.17 : 13,484.25 = 5,294.93 : x
  2. Step 2: Convert to fraction form
    9,771.17/13,484.25 = 5,294.93/x
  3. Step 3: Cross multiply
    9,771.17x = 13,484.25 × 5,294.93
  4. Step 4: Simplify right side
    9,771.17x = 71,398,092.43
  5. Step 5: Solve for x
    x = 71,398,092.43/9,771.17
  6. Step 6: Final answer
    x = 7,307.02

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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.