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Finding the Fourth Proportional to 9,259.16, 12,775.72 and 5,531

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Solution

The fourth proportional to 9,259.16, 12,775.72 and 5,531 is: 7,631.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,259.16 : 12,775.72 = 5,531 : x
  2. Step 2: Convert to fraction form
    9,259.16/12,775.72 = 5,531/x
  3. Step 3: Cross multiply
    9,259.16x = 12,775.72 × 5,531
  4. Step 4: Simplify right side
    9,259.16x = 70,662,507.32
  5. Step 5: Solve for x
    x = 70,662,507.32/9,259.16
  6. Step 6: Final answer
    x = 7,631.63

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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.