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Finding the Fourth Proportional to 9,313.34, 12,852.66 and 5,064.68

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Solution

The fourth proportional to 9,313.34, 12,852.66 and 5,064.68 is: 6,989.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,313.34 : 12,852.66 = 5,064.68 : x
  2. Step 2: Convert to fraction form
    9,313.34/12,852.66 = 5,064.68/x
  3. Step 3: Cross multiply
    9,313.34x = 12,852.66 × 5,064.68
  4. Step 4: Simplify right side
    9,313.34x = 65,094,545.79
  5. Step 5: Solve for x
    x = 65,094,545.79/9,313.34
  6. Step 6: Final answer
    x = 6,989.39

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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.