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Finding the Fourth Proportional to 9,654.96, 14,465.94 and 5,275.50

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Solution

The fourth proportional to 9,654.96, 14,465.94 and 5,275.50 is: 7,904.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,654.96 : 14,465.94 = 5,275.50 : x
  2. Step 2: Convert to fraction form
    9,654.96/14,465.94 = 5,275.50/x
  3. Step 3: Cross multiply
    9,654.96x = 14,465.94 × 5,275.50
  4. Step 4: Simplify right side
    9,654.96x = 76,315,066.47
  5. Step 5: Solve for x
    x = 76,315,066.47/9,654.96
  6. Step 6: Final answer
    x = 7,904.23

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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.