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Finding the Fourth Proportional to 6,390.40, 9,585.60 and 5,929.60

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Solution

The fourth proportional to 6,390.40, 9,585.60 and 5,929.60 is: 8,894.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,390.40 : 9,585.60 = 5,929.60 : x
  2. Step 2: Convert to fraction form
    6,390.40/9,585.60 = 5,929.60/x
  3. Step 3: Cross multiply
    6,390.40x = 9,585.60 × 5,929.60
  4. Step 4: Simplify right side
    6,390.40x = 56,838,773.76
  5. Step 5: Solve for x
    x = 56,838,773.76/6,390.40
  6. Step 6: Final answer
    x = 8,894.40

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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.