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Finding the Fourth Proportional to 9,368.32, 14,061 and 4,989.46

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Solution

The fourth proportional to 9,368.32, 14,061 and 4,989.46 is: 7,488.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,368.32 : 14,061 = 4,989.46 : x
  2. Step 2: Convert to fraction form
    9,368.32/14,061 = 4,989.46/x
  3. Step 3: Cross multiply
    9,368.32x = 14,061 × 4,989.46
  4. Step 4: Simplify right side
    9,368.32x = 70,156,797.06
  5. Step 5: Solve for x
    x = 70,156,797.06/9,368.32
  6. Step 6: Final answer
    x = 7,488.73

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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.