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Finding the Fourth Proportional to 9,770.04, 13,482.66 and 5,293.74

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Solution

The fourth proportional to 9,770.04, 13,482.66 and 5,293.74 is: 7,305.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,770.04 : 13,482.66 = 5,293.74 : x
  2. Step 2: Convert to fraction form
    9,770.04/13,482.66 = 5,293.74/x
  3. Step 3: Cross multiply
    9,770.04x = 13,482.66 × 5,293.74
  4. Step 4: Simplify right side
    9,770.04x = 71,373,696.55
  5. Step 5: Solve for x
    x = 71,373,696.55/9,770.04
  6. Step 6: Final answer
    x = 7,305.36

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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.