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Finding the Fourth Proportional to 7,030.46, 9,702.01 and 3,886.63

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Solution

The fourth proportional to 7,030.46, 9,702.01 and 3,886.63 is: 5,363.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,030.46 : 9,702.01 = 3,886.63 : x
  2. Step 2: Convert to fraction form
    7,030.46/9,702.01 = 3,886.63/x
  3. Step 3: Cross multiply
    7,030.46x = 9,702.01 × 3,886.63
  4. Step 4: Simplify right side
    7,030.46x = 37,708,123.13
  5. Step 5: Solve for x
    x = 37,708,123.13/7,030.46
  6. Step 6: Final answer
    x = 5,363.54

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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.