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Finding the Fourth Proportional to 9,924, 14,886.06 and 3,768

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Solution

The fourth proportional to 9,924, 14,886.06 and 3,768 is: 5,652.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,924 : 14,886.06 = 3,768 : x
  2. Step 2: Convert to fraction form
    9,924/14,886.06 = 3,768/x
  3. Step 3: Cross multiply
    9,924x = 14,886.06 × 3,768
  4. Step 4: Simplify right side
    9,924x = 56,090,674.08
  5. Step 5: Solve for x
    x = 56,090,674.08/9,924
  6. Step 6: Final answer
    x = 5,652.02

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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.