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Finding the Fourth Proportional to 9,248.35, 12,762.02 and 5,268.68

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Solution

The fourth proportional to 9,248.35, 12,762.02 and 5,268.68 is: 7,270.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,248.35 : 12,762.02 = 5,268.68 : x
  2. Step 2: Convert to fraction form
    9,248.35/12,762.02 = 5,268.68/x
  3. Step 3: Cross multiply
    9,248.35x = 12,762.02 × 5,268.68
  4. Step 4: Simplify right side
    9,248.35x = 67,238,999.53
  5. Step 5: Solve for x
    x = 67,238,999.53/9,248.35
  6. Step 6: Final answer
    x = 7,270.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.