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Finding the Fourth Proportional to 9,130.42, 12,599.95 and 4,938.67

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Solution

The fourth proportional to 9,130.42, 12,599.95 and 4,938.67 is: 6,815.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,130.42 : 12,599.95 = 4,938.67 : x
  2. Step 2: Convert to fraction form
    9,130.42/12,599.95 = 4,938.67/x
  3. Step 3: Cross multiply
    9,130.42x = 12,599.95 × 4,938.67
  4. Step 4: Simplify right side
    9,130.42x = 62,227,007.25
  5. Step 5: Solve for x
    x = 62,227,007.25/9,130.42
  6. Step 6: Final answer
    x = 6,815.35

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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.