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Finding the Fourth Proportional to 9,300.54, 13,875.36 and 8,538.50

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Solution

The fourth proportional to 9,300.54, 13,875.36 and 8,538.50 is: 12,738.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,300.54 : 13,875.36 = 8,538.50 : x
  2. Step 2: Convert to fraction form
    9,300.54/13,875.36 = 8,538.50/x
  3. Step 3: Cross multiply
    9,300.54x = 13,875.36 × 8,538.50
  4. Step 4: Simplify right side
    9,300.54x = 118,474,691.98
  5. Step 5: Solve for x
    x = 118,474,691.98/9,300.54
  6. Step 6: Final answer
    x = 12,738.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.