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Finding the Fourth Proportional to 9,637.76, 14,454.48 and 2,712.80

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Solution

The fourth proportional to 9,637.76, 14,454.48 and 2,712.80 is: 4,068.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,637.76 : 14,454.48 = 2,712.80 : x
  2. Step 2: Convert to fraction form
    9,637.76/14,454.48 = 2,712.80/x
  3. Step 3: Cross multiply
    9,637.76x = 14,454.48 × 2,712.80
  4. Step 4: Simplify right side
    9,637.76x = 39,212,113.34
  5. Step 5: Solve for x
    x = 39,212,113.34/9,637.76
  6. Step 6: Final answer
    x = 4,068.59

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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.