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Finding the Fourth Proportional to 9,587.34, 14,381.42 and 4,321.40

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Solution

The fourth proportional to 9,587.34, 14,381.42 and 4,321.40 is: 6,482.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,587.34 : 14,381.42 = 4,321.40 : x
  2. Step 2: Convert to fraction form
    9,587.34/14,381.42 = 4,321.40/x
  3. Step 3: Cross multiply
    9,587.34x = 14,381.42 × 4,321.40
  4. Step 4: Simplify right side
    9,587.34x = 62,147,774.87
  5. Step 5: Solve for x
    x = 62,147,774.87/9,587.34
  6. Step 6: Final answer
    x = 6,482.28

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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.