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Finding the Fourth Proportional to 9,502.94, 14,256.40 and 2,928.98

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Solution

The fourth proportional to 9,502.94, 14,256.40 and 2,928.98 is: 4,394.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,502.94 : 14,256.40 = 2,928.98 : x
  2. Step 2: Convert to fraction form
    9,502.94/14,256.40 = 2,928.98/x
  3. Step 3: Cross multiply
    9,502.94x = 14,256.40 × 2,928.98
  4. Step 4: Simplify right side
    9,502.94x = 41,756,710.47
  5. Step 5: Solve for x
    x = 41,756,710.47/9,502.94
  6. Step 6: Final answer
    x = 4,394.08

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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.