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Finding the Fourth Proportional to 9,886.58, 13,643.19 and 5,410.25

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Solution

The fourth proportional to 9,886.58, 13,643.19 and 5,410.25 is: 7,465.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,886.58 : 13,643.19 = 5,410.25 : x
  2. Step 2: Convert to fraction form
    9,886.58/13,643.19 = 5,410.25/x
  3. Step 3: Cross multiply
    9,886.58x = 13,643.19 × 5,410.25
  4. Step 4: Simplify right side
    9,886.58x = 73,813,000.48
  5. Step 5: Solve for x
    x = 73,813,000.48/9,886.58
  6. Step 6: Final answer
    x = 7,465.98

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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.