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Finding the Fourth Proportional to 9,984.95, 13,769.39 and 7,746.01

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Solution

The fourth proportional to 9,984.95, 13,769.39 and 7,746.01 is: 10,681.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,984.95 : 13,769.39 = 7,746.01 : x
  2. Step 2: Convert to fraction form
    9,984.95/13,769.39 = 7,746.01/x
  3. Step 3: Cross multiply
    9,984.95x = 13,769.39 × 7,746.01
  4. Step 4: Simplify right side
    9,984.95x = 106,657,832.63
  5. Step 5: Solve for x
    x = 106,657,832.63/9,984.95
  6. Step 6: Final answer
    x = 10,681.86

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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.