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Finding the Fourth Proportional to 31,509.61, 47,264.27 and 9,323.12

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Solution

The fourth proportional to 31,509.61, 47,264.27 and 9,323.12 is: 13,984.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,509.61 : 47,264.27 = 9,323.12 : x
  2. Step 2: Convert to fraction form
    31,509.61/47,264.27 = 9,323.12/x
  3. Step 3: Cross multiply
    31,509.61x = 47,264.27 × 9,323.12
  4. Step 4: Simplify right side
    31,509.61x = 440,650,460.92
  5. Step 5: Solve for x
    x = 440,650,460.92/31,509.61
  6. Step 6: Final answer
    x = 13,984.64

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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.