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Finding the Fourth Proportional to 37,302, 55,953.54 and 9,600

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Solution

The fourth proportional to 37,302, 55,953.54 and 9,600 is: 14,400.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,302 : 55,953.54 = 9,600 : x
  2. Step 2: Convert to fraction form
    37,302/55,953.54 = 9,600/x
  3. Step 3: Cross multiply
    37,302x = 55,953.54 × 9,600
  4. Step 4: Simplify right side
    37,302x = 537,153,984
  5. Step 5: Solve for x
    x = 537,153,984/37,302
  6. Step 6: Final answer
    x = 14,400.14

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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.