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Finding the Fourth Proportional to 9,230.50, 12,738.16 and 5,038.76

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Solution

The fourth proportional to 9,230.50, 12,738.16 and 5,038.76 is: 6,953.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,230.50 : 12,738.16 = 5,038.76 : x
  2. Step 2: Convert to fraction form
    9,230.50/12,738.16 = 5,038.76/x
  3. Step 3: Cross multiply
    9,230.50x = 12,738.16 × 5,038.76
  4. Step 4: Simplify right side
    9,230.50x = 64,184,531.08
  5. Step 5: Solve for x
    x = 64,184,531.08/9,230.50
  6. Step 6: Final answer
    x = 6,953.53

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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.