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Finding the Fourth Proportional to 9,079.63, 12,528.71 and 5,300.06

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Solution

The fourth proportional to 9,079.63, 12,528.71 and 5,300.06 is: 7,313.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,079.63 : 12,528.71 = 5,300.06 : x
  2. Step 2: Convert to fraction form
    9,079.63/12,528.71 = 5,300.06/x
  3. Step 3: Cross multiply
    9,079.63x = 12,528.71 × 5,300.06
  4. Step 4: Simplify right side
    9,079.63x = 66,402,845.45
  5. Step 5: Solve for x
    x = 66,402,845.45/9,079.63
  6. Step 6: Final answer
    x = 7,313.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.