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Finding the Fourth Proportional to 9,708.32, 14,565 and 2,783.36

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Solution

The fourth proportional to 9,708.32, 14,565 and 2,783.36 is: 4,175.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,708.32 : 14,565 = 2,783.36 : x
  2. Step 2: Convert to fraction form
    9,708.32/14,565 = 2,783.36/x
  3. Step 3: Cross multiply
    9,708.32x = 14,565 × 2,783.36
  4. Step 4: Simplify right side
    9,708.32x = 40,539,638.40
  5. Step 5: Solve for x
    x = 40,539,638.40/9,708.32
  6. Step 6: Final answer
    x = 4,175.76

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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.