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Finding the Fourth Proportional to 9,618.60, 14,430.60 and 4,688.40

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Solution

The fourth proportional to 9,618.60, 14,430.60 and 4,688.40 is: 7,033.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,618.60 : 14,430.60 = 4,688.40 : x
  2. Step 2: Convert to fraction form
    9,618.60/14,430.60 = 4,688.40/x
  3. Step 3: Cross multiply
    9,618.60x = 14,430.60 × 4,688.40
  4. Step 4: Simplify right side
    9,618.60x = 67,656,425.04
  5. Step 5: Solve for x
    x = 67,656,425.04/9,618.60
  6. Step 6: Final answer
    x = 7,033.92

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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.