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Finding the Fourth Proportional to 9,752.90, 14,632.95 and 9,392.90

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Solution

The fourth proportional to 9,752.90, 14,632.95 and 9,392.90 is: 14,092.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,752.90 : 14,632.95 = 9,392.90 : x
  2. Step 2: Convert to fraction form
    9,752.90/14,632.95 = 9,392.90/x
  3. Step 3: Cross multiply
    9,752.90x = 14,632.95 × 9,392.90
  4. Step 4: Simplify right side
    9,752.90x = 137,445,836.06
  5. Step 5: Solve for x
    x = 137,445,836.06/9,752.90
  6. Step 6: Final answer
    x = 14,092.82

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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.