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Finding the Fourth Proportional to 9,298.32, 13,957.20 and 5,838

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Solution

The fourth proportional to 9,298.32, 13,957.20 and 5,838 is: 8,763.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,298.32 : 13,957.20 = 5,838 : x
  2. Step 2: Convert to fraction form
    9,298.32/13,957.20 = 5,838/x
  3. Step 3: Cross multiply
    9,298.32x = 13,957.20 × 5,838
  4. Step 4: Simplify right side
    9,298.32x = 81,482,133.60
  5. Step 5: Solve for x
    x = 81,482,133.60/9,298.32
  6. Step 6: Final answer
    x = 8,763.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.