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Finding the Fourth Proportional to 9,585.60, 14,378.40 and 8,894.40

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Solution

The fourth proportional to 9,585.60, 14,378.40 and 8,894.40 is: 13,341.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,585.60 : 14,378.40 = 8,894.40 : x
  2. Step 2: Convert to fraction form
    9,585.60/14,378.40 = 8,894.40/x
  3. Step 3: Cross multiply
    9,585.60x = 14,378.40 × 8,894.40
  4. Step 4: Simplify right side
    9,585.60x = 127,887,240.96
  5. Step 5: Solve for x
    x = 127,887,240.96/9,585.60
  6. Step 6: Final answer
    x = 13,341.60

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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.