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Finding the Fourth Proportional to 9,036.64, 12,459.94 and 7,242.68

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Solution

The fourth proportional to 9,036.64, 12,459.94 and 7,242.68 is: 9,986.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,036.64 : 12,459.94 = 7,242.68 : x
  2. Step 2: Convert to fraction form
    9,036.64/12,459.94 = 7,242.68/x
  3. Step 3: Cross multiply
    9,036.64x = 12,459.94 × 7,242.68
  4. Step 4: Simplify right side
    9,036.64x = 90,243,371.28
  5. Step 5: Solve for x
    x = 90,243,371.28/9,036.64
  6. Step 6: Final answer
    x = 9,986.39

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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.