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Finding the Fourth Proportional to 9,925.29, 14,884.98 and 4,377.20

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Solution

The fourth proportional to 9,925.29, 14,884.98 and 4,377.20 is: 6,564.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,925.29 : 14,884.98 = 4,377.20 : x
  2. Step 2: Convert to fraction form
    9,925.29/14,884.98 = 4,377.20/x
  3. Step 3: Cross multiply
    9,925.29x = 14,884.98 × 4,377.20
  4. Step 4: Simplify right side
    9,925.29x = 65,154,460.03
  5. Step 5: Solve for x
    x = 65,154,460.03/9,925.29
  6. Step 6: Final answer
    x = 6,564.49

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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.