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Finding the Fourth Proportional to 6,987.60, 9,643.70 and 4,004.40

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Solution

The fourth proportional to 6,987.60, 9,643.70 and 4,004.40 is: 5,526.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,987.60 : 9,643.70 = 4,004.40 : x
  2. Step 2: Convert to fraction form
    6,987.60/9,643.70 = 4,004.40/x
  3. Step 3: Cross multiply
    6,987.60x = 9,643.70 × 4,004.40
  4. Step 4: Simplify right side
    6,987.60x = 38,617,232.28
  5. Step 5: Solve for x
    x = 38,617,232.28/6,987.60
  6. Step 6: Final answer
    x = 5,526.54

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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.