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Finding the Fourth Proportional to 9,740.25, 14,586.48 and 9,492.39

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Solution

The fourth proportional to 9,740.25, 14,586.48 and 9,492.39 is: 14,215.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,740.25 : 14,586.48 = 9,492.39 : x
  2. Step 2: Convert to fraction form
    9,740.25/14,586.48 = 9,492.39/x
  3. Step 3: Cross multiply
    9,740.25x = 14,586.48 × 9,492.39
  4. Step 4: Simplify right side
    9,740.25x = 138,460,556.89
  5. Step 5: Solve for x
    x = 138,460,556.89/9,740.25
  6. Step 6: Final answer
    x = 14,215.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.