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Finding the Fourth Proportional to 7,059.84, 9,747.04 and 4,543.12

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Solution

The fourth proportional to 7,059.84, 9,747.04 and 4,543.12 is: 6,272.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,059.84 : 9,747.04 = 4,543.12 : x
  2. Step 2: Convert to fraction form
    7,059.84/9,747.04 = 4,543.12/x
  3. Step 3: Cross multiply
    7,059.84x = 9,747.04 × 4,543.12
  4. Step 4: Simplify right side
    7,059.84x = 44,281,972.36
  5. Step 5: Solve for x
    x = 44,281,972.36/7,059.84
  6. Step 6: Final answer
    x = 6,272.38

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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.