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Finding the Fourth Proportional to 9,721.58, 14,564.76 and 4,460.99

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Solution

The fourth proportional to 9,721.58, 14,564.76 and 4,460.99 is: 6,683.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,721.58 : 14,564.76 = 4,460.99 : x
  2. Step 2: Convert to fraction form
    9,721.58/14,564.76 = 4,460.99/x
  3. Step 3: Cross multiply
    9,721.58x = 14,564.76 × 4,460.99
  4. Step 4: Simplify right side
    9,721.58x = 64,973,248.71
  5. Step 5: Solve for x
    x = 64,973,248.71/9,721.58
  6. Step 6: Final answer
    x = 6,683.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.