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Finding the Fourth Proportional to 35,574.66, 53,362.95 and 9,278.82

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Solution

The fourth proportional to 35,574.66, 53,362.95 and 9,278.82 is: 13,918.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,574.66 : 53,362.95 = 9,278.82 : x
  2. Step 2: Convert to fraction form
    35,574.66/53,362.95 = 9,278.82/x
  3. Step 3: Cross multiply
    35,574.66x = 53,362.95 × 9,278.82
  4. Step 4: Simplify right side
    35,574.66x = 495,145,207.72
  5. Step 5: Solve for x
    x = 495,145,207.72/35,574.66
  6. Step 6: Final answer
    x = 13,918.48

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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.