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Finding the Fourth Proportional to 9,089.60, 13,643.10 and 4,710.20

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Solution

The fourth proportional to 9,089.60, 13,643.10 and 4,710.20 is: 7,069.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,089.60 : 13,643.10 = 4,710.20 : x
  2. Step 2: Convert to fraction form
    9,089.60/13,643.10 = 4,710.20/x
  3. Step 3: Cross multiply
    9,089.60x = 13,643.10 × 4,710.20
  4. Step 4: Simplify right side
    9,089.60x = 64,261,729.62
  5. Step 5: Solve for x
    x = 64,261,729.62/9,089.60
  6. Step 6: Final answer
    x = 7,069.81

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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.