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Finding the Fourth Proportional to 9,842.66, 13,588.52 and 6,484.25

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Solution

The fourth proportional to 9,842.66, 13,588.52 and 6,484.25 is: 8,951.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,842.66 : 13,588.52 = 6,484.25 : x
  2. Step 2: Convert to fraction form
    9,842.66/13,588.52 = 6,484.25/x
  3. Step 3: Cross multiply
    9,842.66x = 13,588.52 × 6,484.25
  4. Step 4: Simplify right side
    9,842.66x = 88,111,260.45
  5. Step 5: Solve for x
    x = 88,111,260.45/9,842.66
  6. Step 6: Final answer
    x = 8,951.98

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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.