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Finding the Fourth Proportional to 9,915.85, 13,683 and 5,666.06

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Solution

The fourth proportional to 9,915.85, 13,683 and 5,666.06 is: 7,818.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,915.85 : 13,683 = 5,666.06 : x
  2. Step 2: Convert to fraction form
    9,915.85/13,683 = 5,666.06/x
  3. Step 3: Cross multiply
    9,915.85x = 13,683 × 5,666.06
  4. Step 4: Simplify right side
    9,915.85x = 77,528,733.19
  5. Step 5: Solve for x
    x = 77,528,733.19/9,915.85
  6. Step 6: Final answer
    x = 7,818.67

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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.