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Finding the Fourth Proportional to 9,835.71, 14,748.03 and 3,260.13

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Solution

The fourth proportional to 9,835.71, 14,748.03 and 3,260.13 is: 4,888.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,835.71 : 14,748.03 = 3,260.13 : x
  2. Step 2: Convert to fraction form
    9,835.71/14,748.03 = 3,260.13/x
  3. Step 3: Cross multiply
    9,835.71x = 14,748.03 × 3,260.13
  4. Step 4: Simplify right side
    9,835.71x = 48,080,495.04
  5. Step 5: Solve for x
    x = 48,080,495.04/9,835.71
  6. Step 6: Final answer
    x = 4,888.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.