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Finding the Fourth Proportional to 10,493.14, 14,461.25 and 9,827.32

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Solution

The fourth proportional to 10,493.14, 14,461.25 and 9,827.32 is: 13,543.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,493.14 : 14,461.25 = 9,827.32 : x
  2. Step 2: Convert to fraction form
    10,493.14/14,461.25 = 9,827.32/x
  3. Step 3: Cross multiply
    10,493.14x = 14,461.25 × 9,827.32
  4. Step 4: Simplify right side
    10,493.14x = 142,115,331.35
  5. Step 5: Solve for x
    x = 142,115,331.35/10,493.14
  6. Step 6: Final answer
    x = 13,543.64

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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.