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Finding the Fourth Proportional to 9,913.68, 14,870.52 and 4,075.20

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Solution

The fourth proportional to 9,913.68, 14,870.52 and 4,075.20 is: 6,112.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,913.68 : 14,870.52 = 4,075.20 : x
  2. Step 2: Convert to fraction form
    9,913.68/14,870.52 = 4,075.20/x
  3. Step 3: Cross multiply
    9,913.68x = 14,870.52 × 4,075.20
  4. Step 4: Simplify right side
    9,913.68x = 60,600,343.10
  5. Step 5: Solve for x
    x = 60,600,343.10/9,913.68
  6. Step 6: Final answer
    x = 6,112.80

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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.