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Finding the Fourth Proportional to 9,559.64, 14,323.25 and 5,854.12

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Solution

The fourth proportional to 9,559.64, 14,323.25 and 5,854.12 is: 8,771.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,559.64 : 14,323.25 = 5,854.12 : x
  2. Step 2: Convert to fraction form
    9,559.64/14,323.25 = 5,854.12/x
  3. Step 3: Cross multiply
    9,559.64x = 14,323.25 × 5,854.12
  4. Step 4: Simplify right side
    9,559.64x = 83,849,970.19
  5. Step 5: Solve for x
    x = 83,849,970.19/9,559.64
  6. Step 6: Final answer
    x = 8,771.25

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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.