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Finding the Fourth Proportional to 9,316.95, 13,975.59 and 2,296.98

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Solution

The fourth proportional to 9,316.95, 13,975.59 and 2,296.98 is: 3,445.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,316.95 : 13,975.59 = 2,296.98 : x
  2. Step 2: Convert to fraction form
    9,316.95/13,975.59 = 2,296.98/x
  3. Step 3: Cross multiply
    9,316.95x = 13,975.59 × 2,296.98
  4. Step 4: Simplify right side
    9,316.95x = 32,101,650.72
  5. Step 5: Solve for x
    x = 32,101,650.72/9,316.95
  6. Step 6: Final answer
    x = 3,445.51

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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.