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Finding the Fourth Proportional to 9,505.65, 13,117.88 and 5,256.49

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Solution

The fourth proportional to 9,505.65, 13,117.88 and 5,256.49 is: 7,254.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,505.65 : 13,117.88 = 5,256.49 : x
  2. Step 2: Convert to fraction form
    9,505.65/13,117.88 = 5,256.49/x
  3. Step 3: Cross multiply
    9,505.65x = 13,117.88 × 5,256.49
  4. Step 4: Simplify right side
    9,505.65x = 68,954,005.04
  5. Step 5: Solve for x
    x = 68,954,005.04/9,505.65
  6. Step 6: Final answer
    x = 7,254.00

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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.