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Finding the Fourth Proportional to 9,712.84, 14,565.90 and 6,009.40

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Solution

The fourth proportional to 9,712.84, 14,565.90 and 6,009.40 is: 9,012.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,712.84 : 14,565.90 = 6,009.40 : x
  2. Step 2: Convert to fraction form
    9,712.84/14,565.90 = 6,009.40/x
  3. Step 3: Cross multiply
    9,712.84x = 14,565.90 × 6,009.40
  4. Step 4: Simplify right side
    9,712.84x = 87,532,319.46
  5. Step 5: Solve for x
    x = 87,532,319.46/9,712.84
  6. Step 6: Final answer
    x = 9,012.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.