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Finding the Fourth Proportional to 9,987.60, 14,969.40 and 4,141.20

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Solution

The fourth proportional to 9,987.60, 14,969.40 and 4,141.20 is: 6,206.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,987.60 : 14,969.40 = 4,141.20 : x
  2. Step 2: Convert to fraction form
    9,987.60/14,969.40 = 4,141.20/x
  3. Step 3: Cross multiply
    9,987.60x = 14,969.40 × 4,141.20
  4. Step 4: Simplify right side
    9,987.60x = 61,991,279.28
  5. Step 5: Solve for x
    x = 61,991,279.28/9,987.60
  6. Step 6: Final answer
    x = 6,206.82

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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.