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Finding the Fourth Proportional to 9,825.60, 13,559.08 and 5,518.58

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Solution

The fourth proportional to 9,825.60, 13,559.08 and 5,518.58 is: 7,615.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,825.60 : 13,559.08 = 5,518.58 : x
  2. Step 2: Convert to fraction form
    9,825.60/13,559.08 = 5,518.58/x
  3. Step 3: Cross multiply
    9,825.60x = 13,559.08 × 5,518.58
  4. Step 4: Simplify right side
    9,825.60x = 74,826,867.71
  5. Step 5: Solve for x
    x = 74,826,867.71/9,825.60
  6. Step 6: Final answer
    x = 7,615.50

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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.