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Finding the Fourth Proportional to 9,878.63, 14,825.72 and 4,335.80

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Solution

The fourth proportional to 9,878.63, 14,825.72 and 4,335.80 is: 6,507.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,878.63 : 14,825.72 = 4,335.80 : x
  2. Step 2: Convert to fraction form
    9,878.63/14,825.72 = 4,335.80/x
  3. Step 3: Cross multiply
    9,878.63x = 14,825.72 × 4,335.80
  4. Step 4: Simplify right side
    9,878.63x = 64,281,293.49
  5. Step 5: Solve for x
    x = 64,281,293.49/9,878.63
  6. Step 6: Final answer
    x = 6,507.11

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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.