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Finding the Fourth Proportional to 9,145.86, 13,718.76 and 3,302.46

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Solution

The fourth proportional to 9,145.86, 13,718.76 and 3,302.46 is: 4,953.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,145.86 : 13,718.76 = 3,302.46 : x
  2. Step 2: Convert to fraction form
    9,145.86/13,718.76 = 3,302.46/x
  3. Step 3: Cross multiply
    9,145.86x = 13,718.76 × 3,302.46
  4. Step 4: Simplify right side
    9,145.86x = 45,305,656.15
  5. Step 5: Solve for x
    x = 45,305,656.15/9,145.86
  6. Step 6: Final answer
    x = 4,953.68

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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.