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Finding the Fourth Proportional to 9,654.66, 14,482.08 and 5,275.80

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Solution

The fourth proportional to 9,654.66, 14,482.08 and 5,275.80 is: 7,913.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,654.66 : 14,482.08 = 5,275.80 : x
  2. Step 2: Convert to fraction form
    9,654.66/14,482.08 = 5,275.80/x
  3. Step 3: Cross multiply
    9,654.66x = 14,482.08 × 5,275.80
  4. Step 4: Simplify right side
    9,654.66x = 76,404,557.66
  5. Step 5: Solve for x
    x = 76,404,557.66/9,654.66
  6. Step 6: Final answer
    x = 7,913.75

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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.