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Finding the Fourth Proportional to 10,092.61, 13,925.73 and 6,114.07

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Solution

The fourth proportional to 10,092.61, 13,925.73 and 6,114.07 is: 8,436.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,092.61 : 13,925.73 = 6,114.07 : x
  2. Step 2: Convert to fraction form
    10,092.61/13,925.73 = 6,114.07/x
  3. Step 3: Cross multiply
    10,092.61x = 13,925.73 × 6,114.07
  4. Step 4: Simplify right side
    10,092.61x = 85,142,888.02
  5. Step 5: Solve for x
    x = 85,142,888.02/10,092.61
  6. Step 6: Final answer
    x = 8,436.16

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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.