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Finding the Fourth Proportional to 9,683.55, 13,363.88 and 5,436

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Solution

The fourth proportional to 9,683.55, 13,363.88 and 5,436 is: 7,502.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,683.55 : 13,363.88 = 5,436 : x
  2. Step 2: Convert to fraction form
    9,683.55/13,363.88 = 5,436/x
  3. Step 3: Cross multiply
    9,683.55x = 13,363.88 × 5,436
  4. Step 4: Simplify right side
    9,683.55x = 72,646,024.50
  5. Step 5: Solve for x
    x = 72,646,024.50/9,683.55
  6. Step 6: Final answer
    x = 7,502.00

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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.