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Finding the Fourth Proportional to 9,038.49, 13,561.86 and 5,347.95

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Solution

The fourth proportional to 9,038.49, 13,561.86 and 5,347.95 is: 8,024.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,038.49 : 13,561.86 = 5,347.95 : x
  2. Step 2: Convert to fraction form
    9,038.49/13,561.86 = 5,347.95/x
  3. Step 3: Cross multiply
    9,038.49x = 13,561.86 × 5,347.95
  4. Step 4: Simplify right side
    9,038.49x = 72,528,149.19
  5. Step 5: Solve for x
    x = 72,528,149.19/9,038.49
  6. Step 6: Final answer
    x = 8,024.37

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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.