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Finding the Fourth Proportional to 35,605.88, 53,409 and 9,310.68

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Solution

The fourth proportional to 35,605.88, 53,409 and 9,310.68 is: 13,966.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,605.88 : 53,409 = 9,310.68 : x
  2. Step 2: Convert to fraction form
    35,605.88/53,409 = 9,310.68/x
  3. Step 3: Cross multiply
    35,605.88x = 53,409 × 9,310.68
  4. Step 4: Simplify right side
    35,605.88x = 497,274,108.12
  5. Step 5: Solve for x
    x = 497,274,108.12/35,605.88
  6. Step 6: Final answer
    x = 13,966.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.