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Finding the Fourth Proportional to 35,699.86, 53,545.47 and 9,406.59

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Solution

The fourth proportional to 35,699.86, 53,545.47 and 9,406.59 is: 14,108.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,699.86 : 53,545.47 = 9,406.59 : x
  2. Step 2: Convert to fraction form
    35,699.86/53,545.47 = 9,406.59/x
  3. Step 3: Cross multiply
    35,699.86x = 53,545.47 × 9,406.59
  4. Step 4: Simplify right side
    35,699.86x = 503,680,282.65
  5. Step 5: Solve for x
    x = 503,680,282.65/35,699.86
  6. Step 6: Final answer
    x = 14,108.75

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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.