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Finding the Fourth Proportional to 9,898.76, 14,838.42 and 4,708.28

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Solution

The fourth proportional to 9,898.76, 14,838.42 and 4,708.28 is: 7,057.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,898.76 : 14,838.42 = 4,708.28 : x
  2. Step 2: Convert to fraction form
    9,898.76/14,838.42 = 4,708.28/x
  3. Step 3: Cross multiply
    9,898.76x = 14,838.42 × 4,708.28
  4. Step 4: Simplify right side
    9,898.76x = 69,863,436.12
  5. Step 5: Solve for x
    x = 69,863,436.12/9,898.76
  6. Step 6: Final answer
    x = 7,057.80

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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.