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Finding the Fourth Proportional to 9,779.92, 13,483.59 and 6,236.98

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Solution

The fourth proportional to 9,779.92, 13,483.59 and 6,236.98 is: 8,598.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,779.92 : 13,483.59 = 6,236.98 : x
  2. Step 2: Convert to fraction form
    9,779.92/13,483.59 = 6,236.98/x
  3. Step 3: Cross multiply
    9,779.92x = 13,483.59 × 6,236.98
  4. Step 4: Simplify right side
    9,779.92x = 84,096,881.16
  5. Step 5: Solve for x
    x = 84,096,881.16/9,779.92
  6. Step 6: Final answer
    x = 8,598.93

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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.