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Finding the Fourth Proportional to 9,652.92, 14,486.66 and 7,062.54

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Solution

The fourth proportional to 9,652.92, 14,486.66 and 7,062.54 is: 10,599.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,652.92 : 14,486.66 = 7,062.54 : x
  2. Step 2: Convert to fraction form
    9,652.92/14,486.66 = 7,062.54/x
  3. Step 3: Cross multiply
    9,652.92x = 14,486.66 × 7,062.54
  4. Step 4: Simplify right side
    9,652.92x = 102,312,615.72
  5. Step 5: Solve for x
    x = 102,312,615.72/9,652.92
  6. Step 6: Final answer
    x = 10,599.14

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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.