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Finding the Fourth Proportional to 9,259.81, 12,775.35 and 5,278.04

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Solution

The fourth proportional to 9,259.81, 12,775.35 and 5,278.04 is: 7,281.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,259.81 : 12,775.35 = 5,278.04 : x
  2. Step 2: Convert to fraction form
    9,259.81/12,775.35 = 5,278.04/x
  3. Step 3: Cross multiply
    9,259.81x = 12,775.35 × 5,278.04
  4. Step 4: Simplify right side
    9,259.81x = 67,428,808.31
  5. Step 5: Solve for x
    x = 67,428,808.31/9,259.81
  6. Step 6: Final answer
    x = 7,281.88

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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.