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Finding the Fourth Proportional to 9,903.51, 14,856.48 and 3,662.46

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Solution

The fourth proportional to 9,903.51, 14,856.48 and 3,662.46 is: 5,494.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,903.51 : 14,856.48 = 3,662.46 : x
  2. Step 2: Convert to fraction form
    9,903.51/14,856.48 = 3,662.46/x
  3. Step 3: Cross multiply
    9,903.51x = 14,856.48 × 3,662.46
  4. Step 4: Simplify right side
    9,903.51x = 54,411,263.74
  5. Step 5: Solve for x
    x = 54,411,263.74/9,903.51
  6. Step 6: Final answer
    x = 5,494.14

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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.