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Finding the Fourth Proportional to 10,438.67, 14,407.54 and 9,598.04

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Solution

The fourth proportional to 10,438.67, 14,407.54 and 9,598.04 is: 13,247.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,438.67 : 14,407.54 = 9,598.04 : x
  2. Step 2: Convert to fraction form
    10,438.67/14,407.54 = 9,598.04/x
  3. Step 3: Cross multiply
    10,438.67x = 14,407.54 × 9,598.04
  4. Step 4: Simplify right side
    10,438.67x = 138,284,097.23
  5. Step 5: Solve for x
    x = 138,284,097.23/10,438.67
  6. Step 6: Final answer
    x = 13,247.30

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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.