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Finding the Fourth Proportional to 9,521.61, 14,291.64 and 4,594.71

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Solution

The fourth proportional to 9,521.61, 14,291.64 and 4,594.71 is: 6,896.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,521.61 : 14,291.64 = 4,594.71 : x
  2. Step 2: Convert to fraction form
    9,521.61/14,291.64 = 4,594.71/x
  3. Step 3: Cross multiply
    9,521.61x = 14,291.64 × 4,594.71
  4. Step 4: Simplify right side
    9,521.61x = 65,665,941.22
  5. Step 5: Solve for x
    x = 65,665,941.22/9,521.61
  6. Step 6: Final answer
    x = 6,896.52

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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.