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Finding the Fourth Proportional to 9,770.03, 13,482.67 and 5,293.76

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Solution

The fourth proportional to 9,770.03, 13,482.67 and 5,293.76 is: 7,305.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,770.03 : 13,482.67 = 5,293.76 : x
  2. Step 2: Convert to fraction form
    9,770.03/13,482.67 = 5,293.76/x
  3. Step 3: Cross multiply
    9,770.03x = 13,482.67 × 5,293.76
  4. Step 4: Simplify right side
    9,770.03x = 71,374,019.14
  5. Step 5: Solve for x
    x = 71,374,019.14/9,770.03
  6. Step 6: Final answer
    x = 7,305.40

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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.