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Finding the Fourth Proportional to 9,056.46, 12,497 and 5,699

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Solution

The fourth proportional to 9,056.46, 12,497 and 5,699 is: 7,864.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,056.46 : 12,497 = 5,699 : x
  2. Step 2: Convert to fraction form
    9,056.46/12,497 = 5,699/x
  3. Step 3: Cross multiply
    9,056.46x = 12,497 × 5,699
  4. Step 4: Simplify right side
    9,056.46x = 71,220,403
  5. Step 5: Solve for x
    x = 71,220,403/9,056.46
  6. Step 6: Final answer
    x = 7,864.04

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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.