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Finding the Fourth Proportional to 9,277.24, 13,915.32 and 3,041.32

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Solution

The fourth proportional to 9,277.24, 13,915.32 and 3,041.32 is: 4,561.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,277.24 : 13,915.32 = 3,041.32 : x
  2. Step 2: Convert to fraction form
    9,277.24/13,915.32 = 3,041.32/x
  3. Step 3: Cross multiply
    9,277.24x = 13,915.32 × 3,041.32
  4. Step 4: Simplify right side
    9,277.24x = 42,320,941.02
  5. Step 5: Solve for x
    x = 42,320,941.02/9,277.24
  6. Step 6: Final answer
    x = 4,561.80

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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.