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Finding the Fourth Proportional to 9,120.02, 13,656.29 and 7,812.15

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Solution

The fourth proportional to 9,120.02, 13,656.29 and 7,812.15 is: 11,697.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,120.02 : 13,656.29 = 7,812.15 : x
  2. Step 2: Convert to fraction form
    9,120.02/13,656.29 = 7,812.15/x
  3. Step 3: Cross multiply
    9,120.02x = 13,656.29 × 7,812.15
  4. Step 4: Simplify right side
    9,120.02x = 106,684,946.86
  5. Step 5: Solve for x
    x = 106,684,946.86/9,120.02
  6. Step 6: Final answer
    x = 11,697.89

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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.