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Finding the Fourth Proportional to 10,438.90, 14,407.95 and 6,902.44

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Solution

The fourth proportional to 10,438.90, 14,407.95 and 6,902.44 is: 9,526.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,438.90 : 14,407.95 = 6,902.44 : x
  2. Step 2: Convert to fraction form
    10,438.90/14,407.95 = 6,902.44/x
  3. Step 3: Cross multiply
    10,438.90x = 14,407.95 × 6,902.44
  4. Step 4: Simplify right side
    10,438.90x = 99,450,010.40
  5. Step 5: Solve for x
    x = 99,450,010.40/10,438.90
  6. Step 6: Final answer
    x = 9,526.87

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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.