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Finding the Fourth Proportional to 9,259.53, 13,886.83 and 2,595.63

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Solution

The fourth proportional to 9,259.53, 13,886.83 and 2,595.63 is: 3,892.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,259.53 : 13,886.83 = 2,595.63 : x
  2. Step 2: Convert to fraction form
    9,259.53/13,886.83 = 2,595.63/x
  3. Step 3: Cross multiply
    9,259.53x = 13,886.83 × 2,595.63
  4. Step 4: Simplify right side
    9,259.53x = 36,045,035.16
  5. Step 5: Solve for x
    x = 36,045,035.16/9,259.53
  6. Step 6: Final answer
    x = 3,892.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.