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Finding the Fourth Proportional to 9,841.49, 14,754.01 and 4,904.34

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Solution

The fourth proportional to 9,841.49, 14,754.01 and 4,904.34 is: 7,352.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,841.49 : 14,754.01 = 4,904.34 : x
  2. Step 2: Convert to fraction form
    9,841.49/14,754.01 = 4,904.34/x
  3. Step 3: Cross multiply
    9,841.49x = 14,754.01 × 4,904.34
  4. Step 4: Simplify right side
    9,841.49x = 72,358,681.40
  5. Step 5: Solve for x
    x = 72,358,681.40/9,841.49
  6. Step 6: Final answer
    x = 7,352.41

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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.