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Finding the Fourth Proportional to 9,712.34, 14,565.15 and 6,008.90

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Solution

The fourth proportional to 9,712.34, 14,565.15 and 6,008.90 is: 9,011.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,712.34 : 14,565.15 = 6,008.90 : x
  2. Step 2: Convert to fraction form
    9,712.34/14,565.15 = 6,008.90/x
  3. Step 3: Cross multiply
    9,712.34x = 14,565.15 × 6,008.90
  4. Step 4: Simplify right side
    9,712.34x = 87,520,529.84
  5. Step 5: Solve for x
    x = 87,520,529.84/9,712.34
  6. Step 6: Final answer
    x = 9,011.27

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