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Finding the Fourth Proportional to 9,925.86, 13,693.32 and 6,148.02

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Solution

The fourth proportional to 9,925.86, 13,693.32 and 6,148.02 is: 8,481.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,925.86 : 13,693.32 = 6,148.02 : x
  2. Step 2: Convert to fraction form
    9,925.86/13,693.32 = 6,148.02/x
  3. Step 3: Cross multiply
    9,925.86x = 13,693.32 × 6,148.02
  4. Step 4: Simplify right side
    9,925.86x = 84,186,805.23
  5. Step 5: Solve for x
    x = 84,186,805.23/9,925.86
  6. Step 6: Final answer
    x = 8,481.56

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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.