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Finding the Fourth Proportional to 9,985.59, 14,968.23 and 6,477.81

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Solution

The fourth proportional to 9,985.59, 14,968.23 and 6,477.81 is: 9,710.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,985.59 : 14,968.23 = 6,477.81 : x
  2. Step 2: Convert to fraction form
    9,985.59/14,968.23 = 6,477.81/x
  3. Step 3: Cross multiply
    9,985.59x = 14,968.23 × 6,477.81
  4. Step 4: Simplify right side
    9,985.59x = 96,961,349.98
  5. Step 5: Solve for x
    x = 96,961,349.98/9,985.59
  6. Step 6: Final answer
    x = 9,710.13

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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.