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Finding the Fourth Proportional to 9,952.16, 14,928.11 and 3,026.66

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Solution

The fourth proportional to 9,952.16, 14,928.11 and 3,026.66 is: 4,539.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,952.16 : 14,928.11 = 3,026.66 : x
  2. Step 2: Convert to fraction form
    9,952.16/14,928.11 = 3,026.66/x
  3. Step 3: Cross multiply
    9,952.16x = 14,928.11 × 3,026.66
  4. Step 4: Simplify right side
    9,952.16x = 45,182,298.28
  5. Step 5: Solve for x
    x = 45,182,298.28/9,952.16
  6. Step 6: Final answer
    x = 4,539.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.