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Finding the Fourth Proportional to 9,428.70, 13,011.59 and 6,444.47

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Solution

The fourth proportional to 9,428.70, 13,011.59 and 6,444.47 is: 8,893.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,428.70 : 13,011.59 = 6,444.47 : x
  2. Step 2: Convert to fraction form
    9,428.70/13,011.59 = 6,444.47/x
  3. Step 3: Cross multiply
    9,428.70x = 13,011.59 × 6,444.47
  4. Step 4: Simplify right side
    9,428.70x = 83,852,704.13
  5. Step 5: Solve for x
    x = 83,852,704.13/9,428.70
  6. Step 6: Final answer
    x = 8,893.35

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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.