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Finding the Fourth Proportional to 10,643.06, 14,679.87 and 9,038.63

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Solution

The fourth proportional to 10,643.06, 14,679.87 and 9,038.63 is: 12,466.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,643.06 : 14,679.87 = 9,038.63 : x
  2. Step 2: Convert to fraction form
    10,643.06/14,679.87 = 9,038.63/x
  3. Step 3: Cross multiply
    10,643.06x = 14,679.87 × 9,038.63
  4. Step 4: Simplify right side
    10,643.06x = 132,685,913.38
  5. Step 5: Solve for x
    x = 132,685,913.38/10,643.06
  6. Step 6: Final answer
    x = 12,466.90

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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.