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Finding the Fourth Proportional to 9,718.80, 13,124.70 and 9,718.80

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Solution

The fourth proportional to 9,718.80, 13,124.70 and 9,718.80 is: 13,124.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,718.80 : 13,124.70 = 9,718.80 : x
  2. Step 2: Convert to fraction form
    9,718.80/13,124.70 = 9,718.80/x
  3. Step 3: Cross multiply
    9,718.80x = 13,124.70 × 9,718.80
  4. Step 4: Simplify right side
    9,718.80x = 127,556,334.36
  5. Step 5: Solve for x
    x = 127,556,334.36/9,718.80
  6. Step 6: Final answer
    x = 13,124.70

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.