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Finding the Fourth Proportional to 9,320.53, 12,862.77 and 5,784.88

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Solution

The fourth proportional to 9,320.53, 12,862.77 and 5,784.88 is: 7,983.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,320.53 : 12,862.77 = 5,784.88 : x
  2. Step 2: Convert to fraction form
    9,320.53/12,862.77 = 5,784.88/x
  3. Step 3: Cross multiply
    9,320.53x = 12,862.77 × 5,784.88
  4. Step 4: Simplify right side
    9,320.53x = 74,409,580.92
  5. Step 5: Solve for x
    x = 74,409,580.92/9,320.53
  6. Step 6: Final answer
    x = 7,983.41

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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.