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Finding the Fourth Proportional to 9,852.90, 14,779.35 and 2,926.50

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Solution

The fourth proportional to 9,852.90, 14,779.35 and 2,926.50 is: 4,389.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,852.90 : 14,779.35 = 2,926.50 : x
  2. Step 2: Convert to fraction form
    9,852.90/14,779.35 = 2,926.50/x
  3. Step 3: Cross multiply
    9,852.90x = 14,779.35 × 2,926.50
  4. Step 4: Simplify right side
    9,852.90x = 43,251,767.78
  5. Step 5: Solve for x
    x = 43,251,767.78/9,852.90
  6. Step 6: Final answer
    x = 4,389.75

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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.