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Finding the Fourth Proportional to 9,301.90, 12,836.71 and 5,053

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Solution

The fourth proportional to 9,301.90, 12,836.71 and 5,053 is: 6,973.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,301.90 : 12,836.71 = 5,053 : x
  2. Step 2: Convert to fraction form
    9,301.90/12,836.71 = 5,053/x
  3. Step 3: Cross multiply
    9,301.90x = 12,836.71 × 5,053
  4. Step 4: Simplify right side
    9,301.90x = 64,863,895.63
  5. Step 5: Solve for x
    x = 64,863,895.63/9,301.90
  6. Step 6: Final answer
    x = 6,973.19

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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.