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Finding the Fourth Proportional to 9,638.76, 13,312.42 and 6,489.48

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Solution

The fourth proportional to 9,638.76, 13,312.42 and 6,489.48 is: 8,962.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,638.76 : 13,312.42 = 6,489.48 : x
  2. Step 2: Convert to fraction form
    9,638.76/13,312.42 = 6,489.48/x
  3. Step 3: Cross multiply
    9,638.76x = 13,312.42 × 6,489.48
  4. Step 4: Simplify right side
    9,638.76x = 86,390,683.34
  5. Step 5: Solve for x
    x = 86,390,683.34/9,638.76
  6. Step 6: Final answer
    x = 8,962.84

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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.