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Finding the Fourth Proportional to 9,527.66, 14,293.61 and 2,953.90

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Solution

The fourth proportional to 9,527.66, 14,293.61 and 2,953.90 is: 4,431.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,527.66 : 14,293.61 = 2,953.90 : x
  2. Step 2: Convert to fraction form
    9,527.66/14,293.61 = 2,953.90/x
  3. Step 3: Cross multiply
    9,527.66x = 14,293.61 × 2,953.90
  4. Step 4: Simplify right side
    9,527.66x = 42,221,894.58
  5. Step 5: Solve for x
    x = 42,221,894.58/9,527.66
  6. Step 6: Final answer
    x = 4,431.51

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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.