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Finding the Fourth Proportional to 10,946.64, 15,071.64 and 9,948.84

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Solution

The fourth proportional to 10,946.64, 15,071.64 and 9,948.84 is: 13,697.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,946.64 : 15,071.64 = 9,948.84 : x
  2. Step 2: Convert to fraction form
    10,946.64/15,071.64 = 9,948.84/x
  3. Step 3: Cross multiply
    10,946.64x = 15,071.64 × 9,948.84
  4. Step 4: Simplify right side
    10,946.64x = 149,945,334.90
  5. Step 5: Solve for x
    x = 149,945,334.90/10,946.64
  6. Step 6: Final answer
    x = 13,697.84

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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.