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Finding the Fourth Proportional to 9,607.14, 13,259.25 and 5,627.70

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Solution

The fourth proportional to 9,607.14, 13,259.25 and 5,627.70 is: 7,767.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,607.14 : 13,259.25 = 5,627.70 : x
  2. Step 2: Convert to fraction form
    9,607.14/13,259.25 = 5,627.70/x
  3. Step 3: Cross multiply
    9,607.14x = 13,259.25 × 5,627.70
  4. Step 4: Simplify right side
    9,607.14x = 74,619,081.23
  5. Step 5: Solve for x
    x = 74,619,081.23/9,607.14
  6. Step 6: Final answer
    x = 7,767.04

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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.