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Finding the Fourth Proportional to 9,779.88, 13,492.70 and 6,424.50

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Solution

The fourth proportional to 9,779.88, 13,492.70 and 6,424.50 is: 8,863.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,779.88 : 13,492.70 = 6,424.50 : x
  2. Step 2: Convert to fraction form
    9,779.88/13,492.70 = 6,424.50/x
  3. Step 3: Cross multiply
    9,779.88x = 13,492.70 × 6,424.50
  4. Step 4: Simplify right side
    9,779.88x = 86,683,851.15
  5. Step 5: Solve for x
    x = 86,683,851.15/9,779.88
  6. Step 6: Final answer
    x = 8,863.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.