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Finding the Fourth Proportional to 9,925.14, 14,858.55 and 7,830.48

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Solution

The fourth proportional to 9,925.14, 14,858.55 and 7,830.48 is: 11,722.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,925.14 : 14,858.55 = 7,830.48 : x
  2. Step 2: Convert to fraction form
    9,925.14/14,858.55 = 7,830.48/x
  3. Step 3: Cross multiply
    9,925.14x = 14,858.55 × 7,830.48
  4. Step 4: Simplify right side
    9,925.14x = 116,349,578.60
  5. Step 5: Solve for x
    x = 116,349,578.60/9,925.14
  6. Step 6: Final answer
    x = 11,722.71

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