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Finding the Fourth Proportional to 9,770.31, 13,483.02 and 5,294.15

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Solution

The fourth proportional to 9,770.31, 13,483.02 and 5,294.15 is: 7,305.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,770.31 : 13,483.02 = 5,294.15 : x
  2. Step 2: Convert to fraction form
    9,770.31/13,483.02 = 5,294.15/x
  3. Step 3: Cross multiply
    9,770.31x = 13,483.02 × 5,294.15
  4. Step 4: Simplify right side
    9,770.31x = 71,381,130.33
  5. Step 5: Solve for x
    x = 71,381,130.33/9,770.31
  6. Step 6: Final answer
    x = 7,305.92

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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.