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Finding the Fourth Proportional to 35,933.60, 53,904.02 and 9,641

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Solution

The fourth proportional to 35,933.60, 53,904.02 and 9,641 is: 14,462.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,933.60 : 53,904.02 = 9,641 : x
  2. Step 2: Convert to fraction form
    35,933.60/53,904.02 = 9,641/x
  3. Step 3: Cross multiply
    35,933.60x = 53,904.02 × 9,641
  4. Step 4: Simplify right side
    35,933.60x = 519,688,656.82
  5. Step 5: Solve for x
    x = 519,688,656.82/35,933.60
  6. Step 6: Final answer
    x = 14,462.47

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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.