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Finding the Fourth Proportional to 9,315, 12,848.19 and 6,127.29

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Solution

The fourth proportional to 9,315, 12,848.19 and 6,127.29 is: 8,451.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,315 : 12,848.19 = 6,127.29 : x
  2. Step 2: Convert to fraction form
    9,315/12,848.19 = 6,127.29/x
  3. Step 3: Cross multiply
    9,315x = 12,848.19 × 6,127.29
  4. Step 4: Simplify right side
    9,315x = 78,724,586.11
  5. Step 5: Solve for x
    x = 78,724,586.11/9,315
  6. Step 6: Final answer
    x = 8,451.38

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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.