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Finding the Fourth Proportional to 9,770.35, 13,483.08 and 5,294.13

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Solution

The fourth proportional to 9,770.35, 13,483.08 and 5,294.13 is: 7,305.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,770.35 : 13,483.08 = 5,294.13 : x
  2. Step 2: Convert to fraction form
    9,770.35/13,483.08 = 5,294.13/x
  3. Step 3: Cross multiply
    9,770.35x = 13,483.08 × 5,294.13
  4. Step 4: Simplify right side
    9,770.35x = 71,381,178.32
  5. Step 5: Solve for x
    x = 71,381,178.32/9,770.35
  6. Step 6: Final answer
    x = 7,305.90

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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.