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Finding the Fourth Proportional to 9,718.42, 14,565.34 and 6,207.08

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Solution

The fourth proportional to 9,718.42, 14,565.34 and 6,207.08 is: 9,302.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,718.42 : 14,565.34 = 6,207.08 : x
  2. Step 2: Convert to fraction form
    9,718.42/14,565.34 = 6,207.08/x
  3. Step 3: Cross multiply
    9,718.42x = 14,565.34 × 6,207.08
  4. Step 4: Simplify right side
    9,718.42x = 90,408,230.61
  5. Step 5: Solve for x
    x = 90,408,230.61/9,718.42
  6. Step 6: Final answer
    x = 9,302.77

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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.