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Finding the Fourth Proportional to 9,237.84, 12,738.60 and 6,090

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Solution

The fourth proportional to 9,237.84, 12,738.60 and 6,090 is: 8,397.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,237.84 : 12,738.60 = 6,090 : x
  2. Step 2: Convert to fraction form
    9,237.84/12,738.60 = 6,090/x
  3. Step 3: Cross multiply
    9,237.84x = 12,738.60 × 6,090
  4. Step 4: Simplify right side
    9,237.84x = 77,578,074
  5. Step 5: Solve for x
    x = 77,578,074/9,237.84
  6. Step 6: Final answer
    x = 8,397.86

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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.