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Finding the Fourth Proportional to 9,253.20, 13,946.40 and 7,970.16

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Solution

The fourth proportional to 9,253.20, 13,946.40 and 7,970.16 is: 12,012.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,253.20 : 13,946.40 = 7,970.16 : x
  2. Step 2: Convert to fraction form
    9,253.20/13,946.40 = 7,970.16/x
  3. Step 3: Cross multiply
    9,253.20x = 13,946.40 × 7,970.16
  4. Step 4: Simplify right side
    9,253.20x = 111,155,039.42
  5. Step 5: Solve for x
    x = 111,155,039.42/9,253.20
  6. Step 6: Final answer
    x = 12,012.61

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.