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Finding the Fourth Proportional to 9,982.34, 14,953.50 and 6,460.19

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Solution

The fourth proportional to 9,982.34, 14,953.50 and 6,460.19 is: 9,677.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,982.34 : 14,953.50 = 6,460.19 : x
  2. Step 2: Convert to fraction form
    9,982.34/14,953.50 = 6,460.19/x
  3. Step 3: Cross multiply
    9,982.34x = 14,953.50 × 6,460.19
  4. Step 4: Simplify right side
    9,982.34x = 96,602,376.40
  5. Step 5: Solve for x
    x = 96,602,376.40/9,982.34
  6. Step 6: Final answer
    x = 9,677.33

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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.