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Finding the Fourth Proportional to 9,913.87, 14,871.62 and 4,070.53

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Solution

The fourth proportional to 9,913.87, 14,871.62 and 4,070.53 is: 6,106.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,913.87 : 14,871.62 = 4,070.53 : x
  2. Step 2: Convert to fraction form
    9,913.87/14,871.62 = 4,070.53/x
  3. Step 3: Cross multiply
    9,913.87x = 14,871.62 × 4,070.53
  4. Step 4: Simplify right side
    9,913.87x = 60,535,375.36
  5. Step 5: Solve for x
    x = 60,535,375.36/9,913.87
  6. Step 6: Final answer
    x = 6,106.13

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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.