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Finding the Fourth Proportional to 10,602.08, 14,616.96 and 9,125.84

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Solution

The fourth proportional to 10,602.08, 14,616.96 and 9,125.84 is: 12,581.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,602.08 : 14,616.96 = 9,125.84 : x
  2. Step 2: Convert to fraction form
    10,602.08/14,616.96 = 9,125.84/x
  3. Step 3: Cross multiply
    10,602.08x = 14,616.96 × 9,125.84
  4. Step 4: Simplify right side
    10,602.08x = 133,392,038.25
  5. Step 5: Solve for x
    x = 133,392,038.25/10,602.08
  6. Step 6: Final answer
    x = 12,581.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.