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Finding the Fourth Proportional to 9,357.16, 14,036.32 and 3,807.46

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Solution

The fourth proportional to 9,357.16, 14,036.32 and 3,807.46 is: 5,711.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,357.16 : 14,036.32 = 3,807.46 : x
  2. Step 2: Convert to fraction form
    9,357.16/14,036.32 = 3,807.46/x
  3. Step 3: Cross multiply
    9,357.16x = 14,036.32 × 3,807.46
  4. Step 4: Simplify right side
    9,357.16x = 53,442,726.95
  5. Step 5: Solve for x
    x = 53,442,726.95/9,357.16
  6. Step 6: Final answer
    x = 5,711.43

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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.