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Finding the Fourth Proportional to 35,954.74, 53,928.46 and 9,656.07

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Solution

The fourth proportional to 35,954.74, 53,928.46 and 9,656.07 is: 14,483.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,954.74 : 53,928.46 = 9,656.07 : x
  2. Step 2: Convert to fraction form
    35,954.74/53,928.46 = 9,656.07/x
  3. Step 3: Cross multiply
    35,954.74x = 53,928.46 × 9,656.07
  4. Step 4: Simplify right side
    35,954.74x = 520,736,984.75
  5. Step 5: Solve for x
    x = 520,736,984.75/35,954.74
  6. Step 6: Final answer
    x = 14,483.12

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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.