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Finding the Fourth Proportional to 9,123.77, 12,572.20 and 6,292.01

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Solution

The fourth proportional to 9,123.77, 12,572.20 and 6,292.01 is: 8,670.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,123.77 : 12,572.20 = 6,292.01 : x
  2. Step 2: Convert to fraction form
    9,123.77/12,572.20 = 6,292.01/x
  3. Step 3: Cross multiply
    9,123.77x = 12,572.20 × 6,292.01
  4. Step 4: Simplify right side
    9,123.77x = 79,104,408.12
  5. Step 5: Solve for x
    x = 79,104,408.12/9,123.77
  6. Step 6: Final answer
    x = 8,670.14

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1.5x scale

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.