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Finding the Fourth Proportional to 9,830.52, 14,745.78 and 2,904.48

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Solution

The fourth proportional to 9,830.52, 14,745.78 and 2,904.48 is: 4,356.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,830.52 : 14,745.78 = 2,904.48 : x
  2. Step 2: Convert to fraction form
    9,830.52/14,745.78 = 2,904.48/x
  3. Step 3: Cross multiply
    9,830.52x = 14,745.78 × 2,904.48
  4. Step 4: Simplify right side
    9,830.52x = 42,828,823.09
  5. Step 5: Solve for x
    x = 42,828,823.09/9,830.52
  6. Step 6: Final answer
    x = 4,356.72

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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.