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Finding the Fourth Proportional to 9,574.74, 14,362.10 and 3,001.44

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Solution

The fourth proportional to 9,574.74, 14,362.10 and 3,001.44 is: 4,502.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,574.74 : 14,362.10 = 3,001.44 : x
  2. Step 2: Convert to fraction form
    9,574.74/14,362.10 = 3,001.44/x
  3. Step 3: Cross multiply
    9,574.74x = 14,362.10 × 3,001.44
  4. Step 4: Simplify right side
    9,574.74x = 43,106,981.42
  5. Step 5: Solve for x
    x = 43,106,981.42/9,574.74
  6. Step 6: Final answer
    x = 4,502.16

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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.