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Finding the Fourth Proportional to 9,300.16, 12,834.18 and 5,051.34

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Solution

The fourth proportional to 9,300.16, 12,834.18 and 5,051.34 is: 6,970.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,300.16 : 12,834.18 = 5,051.34 : x
  2. Step 2: Convert to fraction form
    9,300.16/12,834.18 = 5,051.34/x
  3. Step 3: Cross multiply
    9,300.16x = 12,834.18 × 5,051.34
  4. Step 4: Simplify right side
    9,300.16x = 64,829,806.80
  5. Step 5: Solve for x
    x = 64,829,806.80/9,300.16
  6. Step 6: Final answer
    x = 6,970.83

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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.