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Finding the Fourth Proportional to 9,113.40, 12,085.65 and 9,113.40

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Solution

The fourth proportional to 9,113.40, 12,085.65 and 9,113.40 is: 12,085.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,113.40 : 12,085.65 = 9,113.40 : x
  2. Step 2: Convert to fraction form
    9,113.40/12,085.65 = 9,113.40/x
  3. Step 3: Cross multiply
    9,113.40x = 12,085.65 × 9,113.40
  4. Step 4: Simplify right side
    9,113.40x = 110,141,362.71
  5. Step 5: Solve for x
    x = 110,141,362.71/9,113.40
  6. Step 6: Final answer
    x = 12,085.65

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.