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Finding the Fourth Proportional to 9,444.66, 13,036.10 and 6,459.40

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Solution

The fourth proportional to 9,444.66, 13,036.10 and 6,459.40 is: 8,915.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,444.66 : 13,036.10 = 6,459.40 : x
  2. Step 2: Convert to fraction form
    9,444.66/13,036.10 = 6,459.40/x
  3. Step 3: Cross multiply
    9,444.66x = 13,036.10 × 6,459.40
  4. Step 4: Simplify right side
    9,444.66x = 84,205,384.34
  5. Step 5: Solve for x
    x = 84,205,384.34/9,444.66
  6. Step 6: Final answer
    x = 8,915.66

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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.