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Finding the Fourth Proportional to 9,117.90, 12,583.08 and 5,580

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Solution

The fourth proportional to 9,117.90, 12,583.08 and 5,580 is: 7,700.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,117.90 : 12,583.08 = 5,580 : x
  2. Step 2: Convert to fraction form
    9,117.90/12,583.08 = 5,580/x
  3. Step 3: Cross multiply
    9,117.90x = 12,583.08 × 5,580
  4. Step 4: Simplify right side
    9,117.90x = 70,213,586.40
  5. Step 5: Solve for x
    x = 70,213,586.40/9,117.90
  6. Step 6: Final answer
    x = 7,700.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.