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Finding the Fourth Proportional to 9,157.90, 13,712.24 and 7,534.06

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Solution

The fourth proportional to 9,157.90, 13,712.24 and 7,534.06 is: 11,280.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,157.90 : 13,712.24 = 7,534.06 : x
  2. Step 2: Convert to fraction form
    9,157.90/13,712.24 = 7,534.06/x
  3. Step 3: Cross multiply
    9,157.90x = 13,712.24 × 7,534.06
  4. Step 4: Simplify right side
    9,157.90x = 103,308,838.89
  5. Step 5: Solve for x
    x = 103,308,838.89/9,157.90
  6. Step 6: Final answer
    x = 11,280.84

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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.