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Finding the Fourth Proportional to 9,502.93, 14,248.93 and 2,927.35

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Solution

The fourth proportional to 9,502.93, 14,248.93 and 2,927.35 is: 4,389.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,502.93 : 14,248.93 = 2,927.35 : x
  2. Step 2: Convert to fraction form
    9,502.93/14,248.93 = 2,927.35/x
  3. Step 3: Cross multiply
    9,502.93x = 14,248.93 × 2,927.35
  4. Step 4: Simplify right side
    9,502.93x = 41,711,605.24
  5. Step 5: Solve for x
    x = 41,711,605.24/9,502.93
  6. Step 6: Final answer
    x = 4,389.34

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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.