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Finding the Fourth Proportional to 9,941.76, 13,718.88 and 7,113.60

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Solution

The fourth proportional to 9,941.76, 13,718.88 and 7,113.60 is: 9,816.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,941.76 : 13,718.88 = 7,113.60 : x
  2. Step 2: Convert to fraction form
    9,941.76/13,718.88 = 7,113.60/x
  3. Step 3: Cross multiply
    9,941.76x = 13,718.88 × 7,113.60
  4. Step 4: Simplify right side
    9,941.76x = 97,590,624.77
  5. Step 5: Solve for x
    x = 97,590,624.77/9,941.76
  6. Step 6: Final answer
    x = 9,816.23

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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.