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Finding the Fourth Proportional to 35,657.97, 53,484.80 and 9,362.13

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Solution

The fourth proportional to 35,657.97, 53,484.80 and 9,362.13 is: 14,042.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,657.97 : 53,484.80 = 9,362.13 : x
  2. Step 2: Convert to fraction form
    35,657.97/53,484.80 = 9,362.13/x
  3. Step 3: Cross multiply
    35,657.97x = 53,484.80 × 9,362.13
  4. Step 4: Simplify right side
    35,657.97x = 500,731,603.81
  5. Step 5: Solve for x
    x = 500,731,603.81/35,657.97
  6. Step 6: Final answer
    x = 14,042.63

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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.