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Finding the Fourth Proportional to 9,526.55, 13,153.05 and 5,946.95

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Solution

The fourth proportional to 9,526.55, 13,153.05 and 5,946.95 is: 8,210.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,526.55 : 13,153.05 = 5,946.95 : x
  2. Step 2: Convert to fraction form
    9,526.55/13,153.05 = 5,946.95/x
  3. Step 3: Cross multiply
    9,526.55x = 13,153.05 × 5,946.95
  4. Step 4: Simplify right side
    9,526.55x = 78,220,563.58
  5. Step 5: Solve for x
    x = 78,220,563.58/9,526.55
  6. Step 6: Final answer
    x = 8,210.80

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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.