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Finding the Fourth Proportional to 10,438.69, 14,397.44 and 8,985.93

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Solution

The fourth proportional to 10,438.69, 14,397.44 and 8,985.93 is: 12,393.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,438.69 : 14,397.44 = 8,985.93 : x
  2. Step 2: Convert to fraction form
    10,438.69/14,397.44 = 8,985.93/x
  3. Step 3: Cross multiply
    10,438.69x = 14,397.44 × 8,985.93
  4. Step 4: Simplify right side
    10,438.69x = 129,374,293.57
  5. Step 5: Solve for x
    x = 129,374,293.57/10,438.69
  6. Step 6: Final answer
    x = 12,393.73

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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.