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Finding the Fourth Proportional to 9,517.86, 14,281.02 and 5,130.21

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Solution

The fourth proportional to 9,517.86, 14,281.02 and 5,130.21 is: 7,697.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,517.86 : 14,281.02 = 5,130.21 : x
  2. Step 2: Convert to fraction form
    9,517.86/14,281.02 = 5,130.21/x
  3. Step 3: Cross multiply
    9,517.86x = 14,281.02 × 5,130.21
  4. Step 4: Simplify right side
    9,517.86x = 73,264,631.61
  5. Step 5: Solve for x
    x = 73,264,631.61/9,517.86
  6. Step 6: Final answer
    x = 7,697.60

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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.