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Finding the Fourth Proportional to 9,901.56, 14,841.27 and 4,696.50

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Solution

The fourth proportional to 9,901.56, 14,841.27 and 4,696.50 is: 7,039.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,901.56 : 14,841.27 = 4,696.50 : x
  2. Step 2: Convert to fraction form
    9,901.56/14,841.27 = 4,696.50/x
  3. Step 3: Cross multiply
    9,901.56x = 14,841.27 × 4,696.50
  4. Step 4: Simplify right side
    9,901.56x = 69,702,024.56
  5. Step 5: Solve for x
    x = 69,702,024.56/9,901.56
  6. Step 6: Final answer
    x = 7,039.50

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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.