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Finding the Fourth Proportional to 9,300.40, 12,834.64 and 5,051.50

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Solution

The fourth proportional to 9,300.40, 12,834.64 and 5,051.50 is: 6,971.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,300.40 : 12,834.64 = 5,051.50 : x
  2. Step 2: Convert to fraction form
    9,300.40/12,834.64 = 5,051.50/x
  3. Step 3: Cross multiply
    9,300.40x = 12,834.64 × 5,051.50
  4. Step 4: Simplify right side
    9,300.40x = 64,834,140.69
  5. Step 5: Solve for x
    x = 64,834,140.69/9,300.40
  6. Step 6: Final answer
    x = 6,971.12

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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.