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Finding the Fourth Proportional to 9,077.94, 12,528 and 5,301.05

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Solution

The fourth proportional to 9,077.94, 12,528 and 5,301.05 is: 7,315.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,077.94 : 12,528 = 5,301.05 : x
  2. Step 2: Convert to fraction form
    9,077.94/12,528 = 5,301.05/x
  3. Step 3: Cross multiply
    9,077.94x = 12,528 × 5,301.05
  4. Step 4: Simplify right side
    9,077.94x = 66,411,491.76
  5. Step 5: Solve for x
    x = 66,411,491.76/9,077.94
  6. Step 6: Final answer
    x = 7,315.70

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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.