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Finding the Fourth Proportional to 34,602.46, 51,901.66 and 9,643.93

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Solution

The fourth proportional to 34,602.46, 51,901.66 and 9,643.93 is: 14,465.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,602.46 : 51,901.66 = 9,643.93 : x
  2. Step 2: Convert to fraction form
    34,602.46/51,901.66 = 9,643.93/x
  3. Step 3: Cross multiply
    34,602.46x = 51,901.66 × 9,643.93
  4. Step 4: Simplify right side
    34,602.46x = 500,535,975.92
  5. Step 5: Solve for x
    x = 500,535,975.92/34,602.46
  6. Step 6: Final answer
    x = 14,465.33

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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.