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Finding the Fourth Proportional to 9,024.60, 13,569.30 and 8,830.20

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Solution

The fourth proportional to 9,024.60, 13,569.30 and 8,830.20 is: 13,277.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,024.60 : 13,569.30 = 8,830.20 : x
  2. Step 2: Convert to fraction form
    9,024.60/13,569.30 = 8,830.20/x
  3. Step 3: Cross multiply
    9,024.60x = 13,569.30 × 8,830.20
  4. Step 4: Simplify right side
    9,024.60x = 119,819,632.86
  5. Step 5: Solve for x
    x = 119,819,632.86/9,024.60
  6. Step 6: Final answer
    x = 13,277.00

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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.