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Finding the Fourth Proportional to 9,300.48, 13,931.52 and 6,708.48

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Solution

The fourth proportional to 9,300.48, 13,931.52 and 6,708.48 is: 10,048.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,300.48 : 13,931.52 = 6,708.48 : x
  2. Step 2: Convert to fraction form
    9,300.48/13,931.52 = 6,708.48/x
  3. Step 3: Cross multiply
    9,300.48x = 13,931.52 × 6,708.48
  4. Step 4: Simplify right side
    9,300.48x = 93,459,323.29
  5. Step 5: Solve for x
    x = 93,459,323.29/9,300.48
  6. Step 6: Final answer
    x = 10,048.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.