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Finding the Fourth Proportional to 9,521.84, 13,140.12 and 5,330

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Solution

The fourth proportional to 9,521.84, 13,140.12 and 5,330 is: 7,355.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,521.84 : 13,140.12 = 5,330 : x
  2. Step 2: Convert to fraction form
    9,521.84/13,140.12 = 5,330/x
  3. Step 3: Cross multiply
    9,521.84x = 13,140.12 × 5,330
  4. Step 4: Simplify right side
    9,521.84x = 70,036,839.60
  5. Step 5: Solve for x
    x = 70,036,839.60/9,521.84
  6. Step 6: Final answer
    x = 7,355.39

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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.