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Finding the Fourth Proportional to 9,130.85, 12,600.57 and 5,097.98

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Solution

The fourth proportional to 9,130.85, 12,600.57 and 5,097.98 is: 7,035.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,130.85 : 12,600.57 = 5,097.98 : x
  2. Step 2: Convert to fraction form
    9,130.85/12,600.57 = 5,097.98/x
  3. Step 3: Cross multiply
    9,130.85x = 12,600.57 × 5,097.98
  4. Step 4: Simplify right side
    9,130.85x = 64,237,365.36
  5. Step 5: Solve for x
    x = 64,237,365.36/9,130.85
  6. Step 6: Final answer
    x = 7,035.20

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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.