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Finding the Fourth Proportional to 9,509.84, 14,253.24 and 4,878.80

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Solution

The fourth proportional to 9,509.84, 14,253.24 and 4,878.80 is: 7,312.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,509.84 : 14,253.24 = 4,878.80 : x
  2. Step 2: Convert to fraction form
    9,509.84/14,253.24 = 4,878.80/x
  3. Step 3: Cross multiply
    9,509.84x = 14,253.24 × 4,878.80
  4. Step 4: Simplify right side
    9,509.84x = 69,538,707.31
  5. Step 5: Solve for x
    x = 69,538,707.31/9,509.84
  6. Step 6: Final answer
    x = 7,312.29

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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.