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Finding the Fourth Proportional to 9,315.78, 12,855.75 and 5,124

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Solution

The fourth proportional to 9,315.78, 12,855.75 and 5,124 is: 7,071.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,315.78 : 12,855.75 = 5,124 : x
  2. Step 2: Convert to fraction form
    9,315.78/12,855.75 = 5,124/x
  3. Step 3: Cross multiply
    9,315.78x = 12,855.75 × 5,124
  4. Step 4: Simplify right side
    9,315.78x = 65,872,863
  5. Step 5: Solve for x
    x = 65,872,863/9,315.78
  6. Step 6: Final answer
    x = 7,071.11

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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.