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Finding the Fourth Proportional to 9,977.60, 13,752.45 and 8,562.74

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Solution

The fourth proportional to 9,977.60, 13,752.45 and 8,562.74 is: 11,802.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,977.60 : 13,752.45 = 8,562.74 : x
  2. Step 2: Convert to fraction form
    9,977.60/13,752.45 = 8,562.74/x
  3. Step 3: Cross multiply
    9,977.60x = 13,752.45 × 8,562.74
  4. Step 4: Simplify right side
    9,977.60x = 117,758,584.95
  5. Step 5: Solve for x
    x = 117,758,584.95/9,977.60
  6. Step 6: Final answer
    x = 11,802.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.