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Finding the Fourth Proportional to 9,324, 12,867.12 and 5,598

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Solution

The fourth proportional to 9,324, 12,867.12 and 5,598 is: 7,725.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,324 : 12,867.12 = 5,598 : x
  2. Step 2: Convert to fraction form
    9,324/12,867.12 = 5,598/x
  3. Step 3: Cross multiply
    9,324x = 12,867.12 × 5,598
  4. Step 4: Simplify right side
    9,324x = 72,030,137.76
  5. Step 5: Solve for x
    x = 72,030,137.76/9,324
  6. Step 6: Final answer
    x = 7,725.24

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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.