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Finding the Fourth Proportional to 9,256.16, 12,772.84 and 5,277.08

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Solution

The fourth proportional to 9,256.16, 12,772.84 and 5,277.08 is: 7,281.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,256.16 : 12,772.84 = 5,277.08 : x
  2. Step 2: Convert to fraction form
    9,256.16/12,772.84 = 5,277.08/x
  3. Step 3: Cross multiply
    9,256.16x = 12,772.84 × 5,277.08
  4. Step 4: Simplify right side
    9,256.16x = 67,403,298.51
  5. Step 5: Solve for x
    x = 67,403,298.51/9,256.16
  6. Step 6: Final answer
    x = 7,281.99

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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.