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Finding the Fourth Proportional to 9,145, 12,620.10 and 4,953.25

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Solution

The fourth proportional to 9,145, 12,620.10 and 4,953.25 is: 6,835.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,145 : 12,620.10 = 4,953.25 : x
  2. Step 2: Convert to fraction form
    9,145/12,620.10 = 4,953.25/x
  3. Step 3: Cross multiply
    9,145x = 12,620.10 × 4,953.25
  4. Step 4: Simplify right side
    9,145x = 62,510,510.33
  5. Step 5: Solve for x
    x = 62,510,510.33/9,145
  6. Step 6: Final answer
    x = 6,835.49

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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.