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Finding the Fourth Proportional to 9,701.60, 14,518.80 and 5,808.80

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Solution

The fourth proportional to 9,701.60, 14,518.80 and 5,808.80 is: 8,693.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,701.60 : 14,518.80 = 5,808.80 : x
  2. Step 2: Convert to fraction form
    9,701.60/14,518.80 = 5,808.80/x
  3. Step 3: Cross multiply
    9,701.60x = 14,518.80 × 5,808.80
  4. Step 4: Simplify right side
    9,701.60x = 84,336,805.44
  5. Step 5: Solve for x
    x = 84,336,805.44/9,701.60
  6. Step 6: Final answer
    x = 8,693.08

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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.