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Finding the Fourth Proportional to 9,260.53, 13,888.33 and 2,596.63

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Solution

The fourth proportional to 9,260.53, 13,888.33 and 2,596.63 is: 3,894.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,260.53 : 13,888.33 = 2,596.63 : x
  2. Step 2: Convert to fraction form
    9,260.53/13,888.33 = 2,596.63/x
  3. Step 3: Cross multiply
    9,260.53x = 13,888.33 × 2,596.63
  4. Step 4: Simplify right side
    9,260.53x = 36,062,841.34
  5. Step 5: Solve for x
    x = 36,062,841.34/9,260.53
  6. Step 6: Final answer
    x = 3,894.25

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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.