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Finding the Fourth Proportional to 9,570.64, 14,352.32 and 6,282.86

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Solution

The fourth proportional to 9,570.64, 14,352.32 and 6,282.86 is: 9,421.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,570.64 : 14,352.32 = 6,282.86 : x
  2. Step 2: Convert to fraction form
    9,570.64/14,352.32 = 6,282.86/x
  3. Step 3: Cross multiply
    9,570.64x = 14,352.32 × 6,282.86
  4. Step 4: Simplify right side
    9,570.64x = 90,173,617.24
  5. Step 5: Solve for x
    x = 90,173,617.24/9,570.64
  6. Step 6: Final answer
    x = 9,421.90

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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.