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Finding the Fourth Proportional to 9,629.34, 14,444.02 and 2,703.66

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Solution

The fourth proportional to 9,629.34, 14,444.02 and 2,703.66 is: 4,055.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,629.34 : 14,444.02 = 2,703.66 : x
  2. Step 2: Convert to fraction form
    9,629.34/14,444.02 = 2,703.66/x
  3. Step 3: Cross multiply
    9,629.34x = 14,444.02 × 2,703.66
  4. Step 4: Simplify right side
    9,629.34x = 39,051,719.11
  5. Step 5: Solve for x
    x = 39,051,719.11/9,629.34
  6. Step 6: Final answer
    x = 4,055.49

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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.