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Finding the Fourth Proportional to 9,889.53, 14,840.14 and 3,653.95

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Solution

The fourth proportional to 9,889.53, 14,840.14 and 3,653.95 is: 5,483.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,889.53 : 14,840.14 = 3,653.95 : x
  2. Step 2: Convert to fraction form
    9,889.53/14,840.14 = 3,653.95/x
  3. Step 3: Cross multiply
    9,889.53x = 14,840.14 × 3,653.95
  4. Step 4: Simplify right side
    9,889.53x = 54,225,129.55
  5. Step 5: Solve for x
    x = 54,225,129.55/9,889.53
  6. Step 6: Final answer
    x = 5,483.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.