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Finding the Fourth Proportional to 9,965.18, 13,752.05 and 5,488.95

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Solution

The fourth proportional to 9,965.18, 13,752.05 and 5,488.95 is: 7,574.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,965.18 : 13,752.05 = 5,488.95 : x
  2. Step 2: Convert to fraction form
    9,965.18/13,752.05 = 5,488.95/x
  3. Step 3: Cross multiply
    9,965.18x = 13,752.05 × 5,488.95
  4. Step 4: Simplify right side
    9,965.18x = 75,484,287.40
  5. Step 5: Solve for x
    x = 75,484,287.40/9,965.18
  6. Step 6: Final answer
    x = 7,574.80

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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.