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Finding the Fourth Proportional to 9,230.59, 12,738.14 and 5,038.84

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Solution

The fourth proportional to 9,230.59, 12,738.14 and 5,038.84 is: 6,953.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,230.59 : 12,738.14 = 5,038.84 : x
  2. Step 2: Convert to fraction form
    9,230.59/12,738.14 = 5,038.84/x
  3. Step 3: Cross multiply
    9,230.59x = 12,738.14 × 5,038.84
  4. Step 4: Simplify right side
    9,230.59x = 64,185,385.67
  5. Step 5: Solve for x
    x = 64,185,385.67/9,230.59
  6. Step 6: Final answer
    x = 6,953.56

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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.