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Finding the Fourth Proportional to 9,938.10, 14,893.14 and 7,848.90

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Solution

The fourth proportional to 9,938.10, 14,893.14 and 7,848.90 is: 11,762.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,938.10 : 14,893.14 = 7,848.90 : x
  2. Step 2: Convert to fraction form
    9,938.10/14,893.14 = 7,848.90/x
  3. Step 3: Cross multiply
    9,938.10x = 14,893.14 × 7,848.90
  4. Step 4: Simplify right side
    9,938.10x = 116,894,766.55
  5. Step 5: Solve for x
    x = 116,894,766.55/9,938.10
  6. Step 6: Final answer
    x = 11,762.29

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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.