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Finding the Fourth Proportional to 9,891.60, 14,835 and 3,316.08

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Solution

The fourth proportional to 9,891.60, 14,835 and 3,316.08 is: 4,973.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,891.60 : 14,835 = 3,316.08 : x
  2. Step 2: Convert to fraction form
    9,891.60/14,835 = 3,316.08/x
  3. Step 3: Cross multiply
    9,891.60x = 14,835 × 3,316.08
  4. Step 4: Simplify right side
    9,891.60x = 49,194,046.80
  5. Step 5: Solve for x
    x = 49,194,046.80/9,891.60
  6. Step 6: Final answer
    x = 4,973.32

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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.