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Finding the Fourth Proportional to 9,941.59, 13,718.60 and 5,465.23

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Solution

The fourth proportional to 9,941.59, 13,718.60 and 5,465.23 is: 7,541.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,941.59 : 13,718.60 = 5,465.23 : x
  2. Step 2: Convert to fraction form
    9,941.59/13,718.60 = 5,465.23/x
  3. Step 3: Cross multiply
    9,941.59x = 13,718.60 × 5,465.23
  4. Step 4: Simplify right side
    9,941.59x = 74,975,276.95
  5. Step 5: Solve for x
    x = 74,975,276.95/9,941.59
  6. Step 6: Final answer
    x = 7,541.58

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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.